**Address **

Claremont McKenna College

850 Columbia Avenue

Claremont, CA 91711

**Personal**

__Citizenship:__USA- Born in Leningrad, Russia
- Fluent in Russian (native) and English
languages
- Member of AMS (American Mathematical
Soicety)
- Founding member of AMR (Association for Mathematical Research)

**Education**

- Ph.D. in Mathematics, August 2004

University of Texas at Austin

Advisor:Prof. J. D. Vaaler

Thesis:Algebraic points of small height with additional arithmetic conditions

- B.S. in Applied Mathematics with
Specialization in Computing, 1995

University of California at Los Angeles

Professional Experience

- Professor, Claremont McKenna College, May
2015 - present
- Chair of the Department of Mathematical
Sciences, Claremont McKenna College, July 2012 - July 2014
- Associate Professor (with tenure),
Claremont McKenna College, December 2009 - May 2015
- Member of Extended Graduate Faculty,
Claremont Graduate University, July 2007 - present
- Assistant Professor, Claremont McKenna
College, July 2007 - December 2009
- Visiting Assistant Professor, Texas A&M
University, September 2004 - August 2007
- Assistant Instructor and Teaching
Assistant, University of Texas at Austin, September 1998 -
August 2004
- Teaching Assistant, University of Nebraska
at Lincoln, Spring 1998
- Software Engineer, IBM, General Magic,
Compuware, and Compaq corporations, 1995 - 1998

Visiting Positions

- Oberwolfach Research Institute for
Mathematics, Research in Pairs Program, July/August 2017
- Erwin Schrödinger International Institute
for Mathematical Physics, Vienna, Austria, October/November
2014
- Institut Mittag-Leffler (IML), Djursholm,
Sweden, July/August 2013
- Max Planck Institut für Mathematik (MPIM),
Bonn, Germany, July 2012
- Institut des Hautes Etudes Scientifique
(IHES), Bures-sur-Yvette, France, October/November 2010
- Max Planck Institut für Mathematik (MPIM),
Bonn, Germany, June 2008
- Institut des Hautes Etudes Scientifique
(IHES), Bures-sur-Yvette, France, July 2007
- Max Planck Institut für Mathematik (MPIM),
Bonn, Germany, July/August 2006

Invited Research Visits

- ETH Zürich, Switzerland, 1 week in October
2018
- ETH Zürich, Switzerland, 1 week in November
2014
- Wesleyan University, Middletown, CT, USA, 1
week in July 2011
- Nanyang Technological University,
Singapore, 2 weeks in May 2009
- Wesleyan University, Middletown, CT, USA, 2
weeks in July/August 2008

Research Interests

Number theory, arithmetic geometry,
discrete and convex geometry, in particular:

- Diophantine approximation, equations, and
problems
- Classical and adelic geometry of numbers
- Quadratic and linear forms; polynomials
- Theory of height functions, rational points
on varieties, Mahler's measure, and connections with
arithmetic geometry
- Geometric combinatorics, lattice point
counting, Erhart polynomial
- Lattices, packings and coverings, linear
Diophantine problem of Frobenius

Publications

__Small zeros of quadratic forms with linear conditions__,*Journal of Number Theory*, vol. 108 no. 1 (2004), pg. 29-43__Lattice points in homogeneously expanding compact domains,__One section of the omnibus Problems Article "Problems from the Cottonwood Room" (M. Beck, B. Chen, L. Fukshansky, C. Haase, A. Knutson, B. Reznick, S. Robins, A. Schuermann),*Contemporary Mathematics*374 (2005), 179-191, Proceedings of the Summer 2003 AMS/MAA/SIAM Conference on Integer Points in Polyhedra__Integral points of small height outside of a hypersurface__,*Monatshefte für Mathematik,*vol. 147 no. 1 (2006), pg. 25-41__Siegel's lemma with additional conditions__,*Journal of Number Theory*, vol. 120 no. 1 (2006), pg. 13-25- (with Sinai Robins)
__Frobenius problem and the covering radius of a lattice__,*Discrete and Computational Geometry*, vol. 37 no. 3 (2007), pg. 471-483 __On effective Witt decomposition and Cartan-Dieudonné theorem__,*Canadian Journal of Mathematics*, vol. 59 no. 6 (2007), pg. 1284-1300__Small zeros of quadratic forms over the algebraic closure of__,**Q***International Journal of Number Theory*, vol. 4 no. 3 (2008), pg. 503-523__On distribution of well-rounded sublattices of Z^2__,*Journal of Number Theory*, vol. 128 no. 8 (2008), pg. 2359-2393__On similarity classes of well-rounded sublattices of Z^2__,*Journal of Number Theory*, vol. 129 no. 10 (2009), pg. 2530-2556__Search bounds for zeros of polynomials over the algebraic closure of__,**Q***Rocky Mountain Journal of Mathematics*, vol. 39, no. 3 (2009), pg. 789-804__Effective structure theorems for symplectic spaces via height__, in "Quadratic forms -- algebra, arithmetic, and geometry" (R. Baeza, W.K. Chan, D.W. Hoffmann, and R. Schulze-Pillot, eds.), Contemporary Mathematics 493 (2009), pg. 117--130__Integral orthogonal bases of small height for real polynomial spaces__,*Online Journal of Analytic Combinatorics*, vol. 4 (2009), art. 7, 10 pp.- (with Wai Kiu Chan)
__Small zeros of hermitian forms over quaternion algebras__,*Acta Arithmetica*, vol. 142 no. 3 (2010), pg. 251--266 __Algebraic points of small height missing a union of varieties__,*Journal of Number Theory*, vol. 130 no. 10 (2010), pg. 2099--2118 -- an earlier version of this paper also appears in the MPIM Preprint Series- (with D. Moore, A. Ohana, W. Zeldow)
__On well-rounded sublattices of the hexagonal lattice__,*Discrete Mathematics*, vol. 310 no. 23 (2010), pg. 3287--3302 __Revisiting the hexagonal lattice: on optimal lattice circle packing__,*Elemente der Mathematik*, vol. 66 no. 1 (2011) pg. 1--9- (with Sinai Robins)
__Bounds for solid angles of lattices of rank three__,*Journal of Combinatorial Theory A*, vol. 118 no. 2 (2011), pg. 690--701 - (with Achill Schuermann)
__Bounds on generalized Frobenius numbers__,*European Journal of Combinatorics,*vol. 32 no. 3 (2011) pg. 361--368 - (with Kate Petersen)
__On well-rounded ideal lattices__,*International Journal of Number Theory*, vol. 8 no. 1 (2012) pg. 189--206 - (with G. Henshaw, P. Liao, M. Prince, X.
Sun, S. Whitehead)
__On integral well-rounded lattices in the plane__,*Discrete and Computational Geometry,*vol. 48 no. 3 (2012), pg. 735--748 - (with Iskander Aliev and Martin Henk)
__Generalized Frobenius numbers: bounds and average behavior__,*Acta Arithmetica*, vol. 155 no. 1 (2012), pg. 53--62 - (with G. Henshaw, P. Liao, M. Prince, X.
Sun, S. Whitehead)
__On well-rounded ideal lattices - II__,*International Journal of Number Theory,*vol. 9 no. 1 (2013) pg. 139--154 __Heights and quadratic forms: on Cassels' theorem and its generalizations__, in "Diophantine methods, lattices, and arithmetic theory of quadratic forms" (W. K. Chan, L. Fukshansky, R. Schulze-Pillot, and J. D. Vaaler, eds.),*Contemporary Mathematics*, AMS vol. 587 (2013), pg. 77--94- (with Glenn Henshaw)
__Lattice point counting and height bounds over number fields and quaternion algebras__,*Online Journal of Analytic Combinatorics*, vol. 8 (2013), art. 4, 20 pp. __Well-rounded zeta-function of planar arithmetic lattices__,*Proceedings of the American Mathematical Society,*vol. 142 no. 2 (2014), pg. 369--380- (with Wai Kiu Chan and Glenn Henshaw)
__Small zeros of quadratic forms missing a union of varieties__,*Transactions of the AMS*, vol. 366 no. 10 (2014), pg. 5587--5612 - (with Hiren Maharaj)
__Lattices from elliptic curves over finite fields__,*Finite Fields and Their Applications*, vol. 28 (July 2014), pg. 67--78 - (with Xun Sun)
__On the geometry of cyclic lattices__,*Discrete and Computational Geometry*, vol. 52 no. 2 (2014), pg. 240--259 __Stability of ideal lattices from quadratic number fields__,*The Ramanujan Journal*, vol. 37 no. 2 (2015), pg. 243--256- (with Albrecht Boettcher, Stephan Garcia,
and Hiren Maharaj)
__Toeplitz determinants with perturbations in the corners__,*Journal of Functional Analysis*, vol. 268 no. 1 (2015), pg. 171--193 - (with Albrecht Boettcher, Stephan Garcia,
and Hiren Maharaj)
__On lattices generated by finite Abelian groups__,*SIAM Journal on Discrete Mathematics*, vol. 29 no. 1 (2015), pg. 382--404 - (with Stephan Garcia and Xun Sun)
__Permutation invariant lattices__,*Discrete Mathematics*, vol. 338 no. 8 (2015), pg. 1536--1541 __Height bounds on zeros of quadratic forms over Q-bar__,*Research in Mathematical Sciences*, vol. 2 no. 1 (2015), art. 19, 26 pp.- (with Wai Kiu Chan and Glenn Henshaw)
__Totally isotropic subspaces of small height in quadratic spaces__,*Advances in Geometry,*vol. 16 no. 2 (2016), pg. 153--164 - (with Albrecht Boettcher, Stephan Garcia,
and Hiren Maharaj)
__Lattices from Hermitian function fields__,*Journal of Algebra*, vol. 447 (2016), pg. 560--579 - (with Albrecht Boettcher, Stephan Garcia,
Hiren Maharaj, and Deanna Needell)
__Lattices from tight equiangular frames__,*Linear Algebra and its Applications*, vol. 510 (2016), pg. 395--420 - (with Albrecht Boettcher, Stephan Garcia,
and Hiren Maharaj)
__Lattices from Abelian groups__, in "Lattices and Applications in Number Theory,"*Oberwolfach Reports*, vol. 13 no. 1 (2016), pg. 87--154 - (with Pavel Guerzhoy and Florian Luca)
__On arithmetic lattices in the plane__,*Proceedings of the American Mathematical Society*, vol. 145 no. 4 (2017), pg. 1453--1465 - (with Albrecht Boettcher)
__Addendum to: Lattices from tight equiangular frames__,*Linear Algebra and its Applications*, vol. 531 (2017), pg. 592--601 - (with Albrecht Boettcher, Stephan Garcia,
and Hiren Maharaj)
__Lattice theory and Toeplitz determinants__,*Operator Theory: Advances and Applications*, vol. 262 (2018), pg. 117--138 - (with Adib Shaar)
__A new family of one-coincidence sets of sequences with dispersed elements for frequency hopping CDMA systems__,*Advances in Mathematics of Communications*, vol. 12 no. 1 (2018), pg. 181--188 - (with Nikolay Moshchevitin)
__On an effective variation of Kronecker's approximation theorem avoiding algebraic sets__,*Proceedings of the American Mathematical Society*, vol. 146 no. 10 (2018), pg. 4151--4163 -- an extended version of this paper (also joint with O. German) appears in the Oberwolfach preprint series - (with Deanna Needell and Benny Sudakov)
__An algebraic perspective on integer sparse recovery__,*Applied Mathematics and Computation*, vol. 340 (2019), pg. 31--42 - (with Albrecht Boettcher, Simon Eisenbarth,
Stephan Garcia, and Hiren Maharaj)
__Spherical 2-designs and lattices from Abelian groups__,*Discrete and Computational Geometry,*vol. 61 no. 1 (2019) pg. 123--135 - (with Wai Kiu Chan)
__Small representations of integers by integral quadratic forms__,*Journal of Number Theory*, vol. 201 (2019) pg. 40--52 - (with Taoufiq Damir)
__Canonical basis twists of ideal lattices from real quadratic number fields__,*Houston Journal of Mathematics*, vol. 45 no. 4 (2019) pg. 999--1019 - (with Deanna Needell, Josiah Park and
Jessie Xin)
__Lattices from tight frames and vertex transitive graphs__,*Electronic Journal of Combinatorics*, vol. 26 no. 3 (2019), P3.49, 30 pp. - (with Ed Shi)
__Positive semigroups and generalized Frobenius numbers over totally real number fields__,*Moscow Journal of Combinatorics and Number Theory*, vol. 9 no. 1 (2020) pg. 29--41 - (with Soren Aletheia-Zomlefer and Stephan
Garcia)
__The Bateman-Horn conjecture: Heuristic, history, and applications__,*Expositiones Mathematicae,*vol. 38 no. 4 (2020), pg. 430--479 - (with Albrecht Boettcher)
__Representing integers by multilinear polynomials__,*Research in Number Theory*, vol. 6 no. 4 (2020), Article #38 - (with David Kogan)
__On the geometry of nearly orthogonal lattices__,*Linear Algebra and its Applications,*vol. 629 (2021), pg. 112--137 - (with Pavel Guerzhoy and Stefan Kuehnlein)
__On sparse geometry of numbers__,*Research in the Mathematical Sciences*, vol. 8 no. 1 (2021), Article #2

- (with David Kogan)
__Cyclic and well-rounded lattices__,*Moscow Journal of Combinatorics and Number Theory**,*vol. 11 no. 1 (2022), pg. 79--96 - (with Maxwell Forst)
__Counting basis extensions in a lattice__,*Proceedings of the American Mathematical Society,*vol. 150 no. 8 (2022), pg. 3199--3213

- (with Siki Wang)
__Positive semigroups in lattices and totally real number fields__,*Advances in Geometry**,*vol. 22 no. 4 (2022), pg. 503--512 - (with
David Kogan)
__On average coherence of cyclotomic lattices__,*Communications in Mathematics*, vol. 31 no. 1 (2023), pg. 57--72 - (with
Maxwell Forst)
__On zeros of multilinear polynomials__,*Journal of Number Theory*, vol. 245 (2023), pg. 169--186 - (with
Alex Hsu)
__Covering point-sets with parallel hyperplanes and sparse signal recovery__,*Discrete and Computational Geometry*, vol. 69 no. 3 (2023), pg. 919--930 - (with
Camilla Hollanti)
__Euclidean lattices: theory and applications__,, vol. 31 no. 2 (2023) pg. 251--263*Communications in Mathematics* - (with
Maxwell Forst)
__On lattice extensions__,*Monatshefte fur Mathematik,*vol. 203 no. 3 (2024) pg. 613--634 - (with
Maxwell Forst)
__On a new absolute version of Siegel's lemma__,*Research in the Mathematical Sciences*, vol. 11 no. 1 (2024), Article #10, 16 pp. - (with
Pavel Guerzhoy and Tanis Nielsen)
__Deep hole lattices and isogenies of elliptic curves__,, vol. 10 no.2 (2024), Article #33, 12 pp.*Research in Number Theory*

**Book**

- (with Stephan Garcia)
__Geometric Number Theory__, under contract with*Cambridge University Press*

**Editorial**

- Communications in Mathematics, an editor (2023 - present)

- Communications in Mathematics, special
issue on
*Euclidean lattices: theory and applications*(2023), guest editor

- Chebyshevskii Sbornik, an editor (2019 -
present)
- Online Journal of Analytic Combinatorics,
an editor (2013 - present)
- "Diophantine methods, lattices, and
arithmetic theory of quadratic forms" -- proceedings of a
BIRS workshop (Editors: W. K. Chan, L. Fukshansky, R.
Schulze-Pillot, J. D. Vaaler),
*Contemporary Mathematics*, AMS vol. 587 (2013)

Honors, Awards, Scholarships, Funding

- Institute of Mathematical Sciences Award,
Claremont Graduate University, Fall 2022

- Avery Teaching Fellow, Claremont Graduate
University, Fall 2022

- Convocation Speaker, Claremont McKenna
College, September 2018
- Simons Foundation Collaboration Grant for
Mathematicians, 2017-2024
- National Security Agency, Young
Investigator Grant, 3/2015 - 3/2017
- Simons Foundation Collaboration Grant for
Mathematicians, 2013-2018 (terminated in 2015 due to NSA
grant)
- National Security Agency, Young
Investigator Grant, 2/2012 - 2/2014
- Simons Foundation Collaboration Grant for
Mathematicians, 2011-2016 (terminated in 2012 due to NSA
grant)
- Number Theory Foundation conference grant:
travel support for the junior participants of a BIRS
workshop, November 2011
- Faculty Research Grants, Claremont McKenna
College, multiple awards 2008 - present
- Senior personnel on NSF grant DMS-0755540:
REU program for Claremont Colleges, 2008-2011
- Teaching Resource Center mini-grant,
Claremont McKenna College, Spring 2008
- AMS/NSF travel grant for ICM 2006, August
2006
- NSF VIGRE postdoctoral fellowship, Texas
A&M University, 2004-2005
- Graduate Research Assistanship,
University of Texas at Austin, Summer 2002
- NSF VIGRE traveling support, University of
Texas at Austin, December 2001
- Dodd Teaching Excellence Award,
Department of Mathematics, University of Texas at
Austin, 2000
- First year summer fellowship, Department of
Mathematics, University of Texas at Austin, 1999
- CalGrant Scholarship, University
Scholarship, and College of Letters and Science Honors,
UCLA, 1992-1993

Invited talks

__On a new version of Siegel's lemma__, workshop on "Diophantine Approximation, Dynamics and Related Topics", Yau Center for Mathematical Sciences, Hainan, China (January 29 - February 2, 2024)

__On a new absolute version of Siegel's lemma__, ILAS Special Session on "Linear Algebra, Matrix Theory and its Applications", JMM 2024, San Francisco, CA (January 3-6, 2024)

__A geometric construction for integer sparse recovery__, Combinatorics Forum, UCLA (October 26, 2023)

__Sparsity, virtually rectangular lattices and elliptic curves__, COGENT Seminar online (June 5, 2023)

__Geometric constructions for sparse integer signal recovery__, Probability and Statistics Seminar, USC (April 28, 2023)

__On sparse geometry of numbers__, Colloquium, University of Houston (March 8, 2023)

__Covering point-sets with parallel hyperplanes and sparse signal recovery__, AMS Special Session on "Topology, Algebra and Geometry in the Mathematics of Data Science", JMM 2023, Boston, MA (January 4-7, 2023)

__Sparsity, virtually rectangular lattices and elliptic curves__, AMS Special Session on "Quadratic Forms, Modular Forms and Applications", JMM 2023, Boston, MA (January 4-7, 2023)

__Positive semigroups in lattices and totally real number fields__, AMS Special Session on "Number Theory at Non-PhD Granting Institutions", JMM 2023, Boston, MA (January 4-7, 2023)

__Lattices from group frames and vertex transitive graphs__, Point Distributions Webinar (March 23, 2022)

__Geometric constructions for sparse integer signal recovery__, Combinatorics Seminar, UC Irvine (February 16, 2022)

__Geometric constructions for sparse integer signal recovery__, Workshop on*Optimal Points Configurations on Manifolds*, Erwin Schroedinger Institute, Vienna, Austria (January 17 - 21, 2022)

__Representing integers by multilinear polynomials__, Selected Topics in Mathematics online seminar, University of Liverpool, UK (October 29, 2021)__On sparse geometry of numbers__, Diophantine Analysis and Related Topics, online conference at Moscow State University, Russia (May 31 - June 5, 2021)__Representing integers by multilinear polynomials__, Diophantine Analysis online seminar, Moscow State University, Russia (April 8, 2021)__Lattices from group frames and vertex transitive graphs__, Algebra Seminar, Florida State University, Tallahassee, Florida (November 20, 2019)__Heights and quadratic forms__, Colloquium, University of Texas Rio Grande Valley, Edinburg, Texas (November 19, 2019)__Lattices from group frames and vertex transitive graphs__, Combinatorics Seminar, University of Texas Rio Grande Valley, Brownsville, Texas (November 18, 2019)__Bounds on linear forms and integer sparse recovery__, Baikal Number Theory Conference, Olkhon Island, Russia (August 26 - 30, 2019)__Lattices from group frames and vertex transitive graphs__, Number Theory Seminar, Moscow State University, Russia (August 23, 2019)__Lattices from group frames and vertex transitive graphs__, Southern Illinois University Conference on Pure Mathematics, Carbondale, IL (May 14 - 16, 2019)__An algebraic perspective on integer sparse recovery__, Combinatorics Seminar, UCLA, (May 9, 2019)__Bounding linear forms on a lattice away from zero__, Conference on the Arithmetic Theory of Quadratic Forms, Seoul National University (January 7 - 11, 2019)__Small representations of integers by integral quadratic forms__, Algebra, Number Theory, and Discrete Mathematics Seminar, Cal State Northridge (November 14, 2018)__An algebraic perspective on integer sparse recovery__, Combinatorics Seminar, USC, Los Angeles, CA (October 31, 2018)__An algebraic perspective on integer sparse recovery__, Theory of Combinatorial Algorithms Seminar, ETH Zurich, Zurich, Switzerland (October 25, 2018)__Lattices generated by equiangular tight frames__, Workshop on Computational Challenges in the Theory of Lattices, ICERM Brown (April 23 - 27, 2018)__An effective variation of Kronecker's approximation theorem__, AMS Special Session:*A Showcase of Number Theory at Liberal Arts Colleges*, San Diego, CA (January 10 - 11, 2018)__On some algebraic lattice constructions__, Number Theory Seminar, Texas A&M University, College Station, TX (September 8, 2017)__Solving systems of quadratic equations over Q-bar__, AMS Special Session:*Numbers, Functions, Transcendence and Geometry*, Denton, TX (September 9 - 10, 2017)__On two constructions of extremal lattices__, Vilnius Conference in Combinatorics and Number Theory, Vilnius, Lithuania (July 17 - 22, 2017)__Lattices generated by equiangular tight frames__, Combinatorics Seminar, UCLA, (June 1, 2017)__On some algebraic constructions of extremal lattices__, Combinatorics Seminar, Caltech (February 22, 2017)__On some algebraic constructions of extremal lattices__, Number Theory Seminar, UC Irvine (October 18, 2016)__Lattices from Abelian groups, spherical designs, and packing density maxima__, Operations Research Seminar, Cardiff University, Cardiff, UK (July 13, 2016)__Generalized Frobenius numbers: bounds and average behavior via geometric techniques__, International meeting on numerical semigroups with applications, Levico Terme, Italy (July 4 - 8, 2016)__Well-rounded lattices from algebraic constructions__, Sabanci University, Istanbul, Turkey (June 8, 2016)__Well-rounded lattices from algebraic constructions__, ANTA Seminar, Aalto University, Helsinki, Finland (June 5, 2016)__On arithmetic lattices in the plane__, Southern Illinois University Conference on Pure Mathematics, Carbondale, IL (May 15 - 17, 2016)__On lattices generated by finite Abelian groups__, Southern California Discrete Math Symposium 2016, UCLA, April 16, 2016__Lattices from Abelian groups__, Workshop on "Lattices and Applications in Number Theory", Oberwolfach, Germany (January 17 - 23, 2016)__Height bounds for zeros of quadratic forms__, Diophantine Approximation and Related Topics, Aahrus, Denmark (July 13 - 17, 2015)__Solving quadratic equations over Q-bar__, Algebra, Number Theory, and Discrete Mathematics Seminar, Cal State Northridge (April 29, 2015)__Height bounds on zeros of quadratic forms over Q-bar__, AMS Special Session:*Quadratic Forms in Arithmetic and Geometry*, AMS Spring Western Section Meeting, Huntsville, AL, March 2015__Searching for rational points on varieties over global fields__, University of Göttingen, Germany (November 16-22, 2014)__On the Frobenius problem and its generalization__, Theory of Combinatorial Algorithms Seminar, ETH Zürich, Switzerland, November 11, 2014__Well-rounded lattices from algebraic constructions__, TU Berlin, November 5, 2014__Well-rounded lattices from algebraic constructions__, plenary lecture at the__Workshop on "Sphere Packings, Lattices, and Designs"__,__Program on "Minimal Energy Point Sets, Lattices, and Designs"__,__Erwin Schrödinger International Institute for Mathematical Physics__, Vienna, Austria (October 27-31, 2014)__On stability of ideal lattices from quadratic number fields__, ICM 2014 Satellite Conference on Integral Quadratic Forms and Related Topics, Gyeongju, South Korea (August 7-11, 2014)__Computational complexity of lattice problems and cyclic lattices__, 2014 Undergraduate Summer Research Program Polygons and Polynomials, ICERM - Brown University, July 28, 2014__Heights and effective theory of quadratic forms over global fields__, University of Colorado at Boulder, Number Theory seminar, Boulder, Colorado (April 3, 2014)__Well-rounded lattices from algebraic constructions__, International Conference on The Algebraic and Arithmetic Theory of Quadratic Forms 2013, Puerto Natales, Patagonia, Chile (December 16-21, 2013)__Computational complexity of lattice problems and cyclic lattices__, Colloquium, California State University Dominguez Hills, October 2013__Complexity of lattice problems on cyclic lattices__, Combinatorics Seminar, UCLA, February 2013__On the geometry of cyclic lattices__, Algebra and Discrete Mathematics Seminar, UC Davis, Davis, CA, February 2013__Computational complexity of lattice problems and cyclic lattices__, Graduate Seminar, California State University Channel Islands, Camarillo, CA, February 2013__On integral well-rounded lattices__, Number Theory Seminar, Max Planck Institut für Mathematik, Bonn, Germany, July 2012__On integral well-rounded lattices__, Mathematics Colloquium, Karlsruhe Institute of Technology, Karlsruhe, Germany, July 2012__On the Frobenius problem and its generalization__, Number Theory Seminar, Universitaet des Saarlandes, Saarbruecken, Germany, July 2012__On minimal lattice spherical configurations in three dimensions__, Analysis Seminar, California State University Fullerton, April 2012__Search bounds with respect to height in linear and quadratic spaces__, Minisymposium:*Arithmetic aspects of numerical solving*at the SIAM Conference on Applied Algebraic Geometry, North Carolina State University, Raleigh, North Carolina (October 6-9, 2011)__On the Frobenius problem and its generalization__, Colloquium, California State University Dominguez Hills, September 2011__On minimal lattice spherical configurations in three dimensions__, Combinatorics Seminar, UCLA, May 2011__On distribution of integral well-rounded lattices in the plane__, Special Session:*Arithmetic of quadratic forms and integral lattices*at the First Joint Meeting of AMS and Sociedad Mathematica de Chile, Pucon, Chile (December 15-18, 2010)__Heights and effective theory of quadratic forms over global fields__, Workshop on the arithmetic of quadratic forms and integral lattices, Lake Ranco, Chile (December 13-14, 2010)__Searching for rational points on varieties over global fields__, Colloquium, Uppsala University, November 2010__On Siegel's lemma outside of a union of varieties__, Oberseminar des Institutes für Algebra und Geometrie, University of Magdeburg, November 2010__On the Frobenius problem and its generalization__, Colloquium, University of Rostock, November 2010__Small zeros of hermitian forms over quaternion algebras__, Number Theory Seminar, Institut de Mathématiques de Jussieu, Paris, France, October 2010__On the Frobenius problem and covering radius of a lattice__, Combinatorics Seminar, UCLA, May 2010__On distribution of well-rounded lattices in the plane__, Number Theory Seminar, UC Irvine, March 2010__Small zeros of hermitian forms over quaternion algebras__, AMS-KMS Special Session:*Arithmetic of quadratic forms*, First Joint Meeting of AMS and Korean Mathematical Society, Seoul, South Korea (December 16-20, 2009) -- CANCELLED__On the Frobenius coin-exchange problem__, Graduate Seminar, California State University Channel Islands, Camarillo, CA, September 2009__Points of small height missing a union of varieties__, AMS Special Session:*Algebra and Number Theory with Polyhedra*, AMS Spring Western Section Meeting, San Francisco, CA, February 2009__Siegel's lemma outside of a union of varieties__, AMS Special Session:*Number Theory*, AMS Fall Eastern Section Meeting, Middletown, CT, October 2008__On distribution of well-rounded sublattices of Z^2__, Séminaire de Théorie des Nombres, Institut de Mathématiques de Bordeaux, University of Bordeaux, France, June 2008__On similarity classes of well-rounded sublattices of Z^2__, Oberseminar des Institutes für Algebra und Geometrie, University of Magdeburg, Germany, June 2008__On zeta function of well-rounded sublattices of Z^2__, Number Theory Seminar, Institut de Mathématiques de Jussieu, Paris, France, May 2008__Sphere packing, lattices, and Epstein zeta function__, Colloquium, California State University at Los Angeles, April 2008__Sphere packing, lattices, and Epstein zeta function__, Colloquium, California State University at Northridge, March 2008__Frobenius number, covering radius, and well-rounded lattices__, AMS Special Session:*The linear Diophantine problem of Frobenius*, Joint Mathematics Meeting, San Diego, CA, January 2008__Effective structure theorems for quadratic spaces via height__, Second International Conference on The Algebraic and Arithmetic Theory of Quadratic Forms 2007, Lake Llanquihue, Chile, December 2007__Sphere packing, lattices, and Epstein zeta function__, Claremont Mathematics Colloquium, Claremont Colleges, November 2007__Effective theorems for quadratic spaces via height__, Number Theory Seminar, UCLA, October 2007__Frobenius number, covering radius, and well-rounded lattices__, Colloquium, George Mason University, February 2007__Frobenius number, covering radius, and well-rounded lattices__, Colloquium, Bucknell University, February 2007__Frobenius number, covering radius, and well-rounded lattices__, Colloquium, Claremont McKenna College, January 2007__Effective decompositions of quadratic spaces via heights__, Number Theory Seminar, Max Planck Institut für Mathematik - Bonn, July 2006__Frobenius number, covering radius, and ESM lattices__, Number Theory Seminar, University of Göttingen, June 2006__Quadratic forms and height functions__, Colloquium of the Graduiertenkolleg, University of Göttingen, June 2006__On the linear Diophantine problem of Frobenius__, Oberseminar des Institutes für Algebra und Geometrie , University of Magdeburg, June 2006__On the Frobenius problem__, Algebra-Geometry-Combinatorics Seminar, San Francisco State University, May 2006__Frobenius number of ESM lattices__, Number Theory Seminar, University of Texas at Austin, February 2006__The Frobenius problem and the covering radius of a lattice__, Colloquium, Temple University, February 2006__Effective theorems for quadratic spaces over the algebraic closure of__, AMS Special Session on Mahler Measure and Heights, Joint Mathematics Meeting, San Antonio, TX, January 2006**Q**__Effective structure theorems for quadratic spaces and their isometries__, Number Theory Seminar, University of Illinois at Urbana-Champaign, February 2005__Heights and Diophantine problems__,__Colloquium__,__Rice University__, September 2004__Small zeros of quadratic polynomials__, Number Theory Seminar, Texas A&M University, November 2003__Small zeros of quadratic forms with linear conditions__, Mahler's Measure of Polynomials Conference, Simon Fraser University, June 2003

Contributed talks

__On sparse geometry of numbers__, AustMS 2020 Meeting Online, Special Session on Number Theory and Algebraic Geometry, December 2020__Orthogonal Siegel's lemma__, Illinois Number Theory Conference, May 2010__Algebraic points of small height missing a union of varieties__, Western Number Theory Conference, Fort Collins, CO, December 2008__Siegel's lemma outside of a union of varieties__, Number Theory Seminar, UCLA, November 2008__On distribution of well-rounded sublattices of Z^2__, CNTA10, Waterloo, Canada, July 2008__Effective theorems for quadratic spaces via height__, Seminaire de theorie des nombres de Chevaleret, Institut de Mathématiques de Jussieu, Paris, France, July 2007__On distribution of integral well-rounded lattices in dimension two__, Illinois Number Theory Fest, May 2007__Effective theorems for quadratic spaces__, ICM 2006, Madrid, Spain, August 2006__Frobenius problem and the covering radius of a lattice__, West Coast Number Theory, Pacific Grove, CA, December 2005__Some effective Diophantine results over the algebraic closure of__, XXIVth Journées Arithmétiques, Marseilles, France, July 2005**Q**__Effective decompositions of quadratic spaces__, ArithmeTexas, College Station, TX, April 2005__Counting lattice points in admissible adelic sets__, MNTCG2, Urbana-Champaign, IL, February 2005__On effective Witt decomposition and Cartan-Dieudonné theorem__, West Coast Number Theory Conference, Las Vegas, NV, December 2004__Siegel's lemma with additional conditions__, CNTA8, Toronto, June 2004__Integral points of small height outside of a hypersurface__, Illinois Number Theory Conference, Urbana-Champaign, May 2004__Lattice points of small height in projective varieties__, Integer points in polyhedra,*Joint Summer research conferences*, Snowbird, Utah, July 2003__On a discrete analogue of the Tarski plank problem__, West Coast Number Theory Conference, SFSU, San Francisco, December 2002__Points of small height outside of a collection of subspaces__*,*CNTA7, Montreal, Canada, May 2002__Small zeros of quadratic forms over a number field__, West Coast Number Theory Conference, Pacific Grove, CA, December 2001

Educational and expository talks

__A difference in numbers__, Introduction to Faculty Talk Series, Claremont McKenna College, October 2023

__Lecture course on Algebraic Number Theory__, week-long course at the WAMS Summer School on Lattices, Diophantine Approximation and Heights, Urgench State University, Uzbekistan (June 6-10, 2022)

__A difference in numbers__, keynote lecture for the Center for Talented Youth Science and Technology event at Claremont McKenna College, October 2018__The makings of a good problem: theory and applications__, keynote address at the 72nd Annual Convocation, Claremont McKenna College, September 2018__A difference in numbers__, invited lecture at GEMS: Gateway to Exploring Mathematical Sciences, Claremont Colleges, November 2017__How to count to infinity: a combinatorial approach to geometry__, a break-out session for the Center for Talented Youth Science and Technology event at Claremont McKenna College, March 2017__How to count to infinity: a combinatorial approach to geometry__, a break-out session for the Center for Talented Youth Science and Technology event at Claremont McKenna College, October 2015__Math for the New Millennium: Ideas that Change the World__, a panel presentation at the Marian Miner Cook Athenaeum, Claremont McKenna College (joint with A. Aksoy, B. Hunter, and C.-Y. Kao), October 2015__A Challenge for the Millennium: the Million Dollar Problems in Mathematics__, a panel presentation at the Marian Miner Cook Athenaeum, Claremont McKenna College (joint with M. Huber, D. Needel, and S. Nelson), April 2013__The kissing number problem: from Newton and Gauss to the present day__, a lecture in the Claremont McKenna College Math Club, March 2013__Math in the grocery aisle: from stacking oranges to constructing error-correcting codes__, invited lecture at GEMS: Gateway to Exploring Mathematical Sciences, Claremont Colleges, February 2009__Mahler's measure and Lehmer's conjecture__, Mathematics Graduate Student Organization Seminar, Texas A&M University, October 2006__Packing oranges and constructing error correcting codes__, invited lecture to school students as a part of Math Awareness Month, Texas A&M University, April 2006__Simultaneous Diophantine approximations and a conjecture of Minkowski__, Introduction to Mathematical Research seminar series, University of Texas at Austin, March 2006__Semester review of calculus__, invited lecture to freshmen engineering students as a part of Texas A&M Leaders in Freshman Engineering final review series, December 2005__Diophantine equations: the mystery of numbers__, invited lecture to high school students as a part of Texas A&M Summer Honors Invitational Program (SHIP), June 2005

Local seminar talks

__Primitive elements in number fields and Diophantine avoidance__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, February 2023

__Deep hole lattices and isogenies of elliptic curves__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, February 2023

__Orthogonality defect and coherence of cyclotomic lattices__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, February 2023

__Positive semigroups in lattices and totally real number fields__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, December 2022

__On discrete subgroups of Euclidean spaces__, Analysis Seminar, Claremont Colleges, December 2022

__On sparse geometry of numbers__, Claremont Mathematics Colloquium, Claremont Colleges, February 2022

__On frame coherence and nearly orthogonal lattices__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, February 2022

__Representing integers by multilinear polynomials__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, September 2021__Covering point-sets with parallel hyperplanes and sparse signal recovery__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, February 2020__Frobenius problem over number fields__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, September 2019__Lattices from group frames and vertex transitive graphs__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, February 2019__Algebraic approach to integer sparse recovery__, Claremont Mathematics Weekend, January 2019__Digital sequences for frequency hopping CDMA systems__, Applied Mathematics Seminar, Claremont Colleges, November 2018__Small representations of integers by integral quadratic forms__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, September 2018__An algebraic perspective on integer sparse recovery__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, October 2017__Counting arithmetic lattices in the plane__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, February 2017__Constructing extremal lattices in Euclidean spaces__, Claremont Mathematics Colloquium, Claremont Colleges, February 2017__Some arithmetic constructions with equiangular frames__, Claremont Mathematics Weekend, January 2017__On effective variations of Kronecker's approximation theorem__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, February 2016__Arithmetic lattices and elliptic curves__, Claremont Mathematics Weekend, January 2016__Optimization problems on planar lattice transmitter networks__, Applied Mathematics Seminar, Claremont Colleges, October 2015__Solving quadratic equations over Q-bar__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, September 2015__On the Frobenius problem and its generalization__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, October 2014__Well-rounded lattices from algebraic constructions__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, September 2014__Automorphism groups of lattices, Minkowski reduction domain, and well-rounded retract__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, April 2014__Searching for rational points on varieties over global fields__, Claremont Mathematics Colloquium, Claremont Colleges, February 2014__On stability of ideal lattices from quadratic number fields__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, November 2013__Complexity of lattice problems on cyclic lattices__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, April 2013__On a counting problem in number theory__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, October 2012__On zeta-function of well-rounded lattices in the plane__, Analysis Seminar, Claremont Colleges, February 2012__Lattices must be fat -- no skinny lattice for you!__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, February 2012__Integer knapsacks and the Frobenius problem__, Statistics / Operations Research / Math Finance seminar, Claremont Colleges, April 2011__On well-rounded ideal lattices__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, January 2011__Revisiting the hexagonal lattice: on optimal lattice circle packing__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, February 2010__On minimal lattice spherical configurations in three dimensions__, Topology and Geometry seminar, Claremont Colleges, November 2009__Diophantine approximation on a circle__, Analysis Seminar, Claremont Colleges, April 2009__On heights of algebraic numbers__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, March 2009__On Tarski plank problem and its discrete analogues__, Analysis Seminar, Claremont Colleges, November 2008__On Siegel's lemma__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, September 2008__On distribution of well-rounded sublattices of Z^2__, Analysis Seminar, Claremont Colleges, September 2008__Mahler's measure, Lehmer's conjecture, and some connections - II__, Analysis Seminar, Claremont Colleges, April 2008__Mahler's measure, Lehmer's conjecture, and some connections - I__, Analysis Seminar, Claremont Colleges, February 2008__On zeta function of well-rounded lattices__, Analysis Seminar, Claremont Colleges, November 2007__Hilbert's 10-th problem, heights, and search bounds for rational points on varieties, Parts I and II__, Algebra / Number Theory / Combinatorics Seminar, Claremont Colleges, September 2007__On the distribution of integral well-rounded lattices in dimension two, Part II__, Number Theory Seminar, Texas A&M University, February 2007__On the distribution of integral well-rounded lattices in dimension two, Part I__, Number Theory Seminar, Texas A&M University, September 2006__Effective theorems for quadratic spaces over Q-bar__, Number Theory Seminar, Texas A&M University, January 2006__The Frobenius problem and the covering radius of a lattice__, Number Theory Seminar, Texas A&M University, October 2005__Some effective Diophantine results over Q-bar__*,*Number Theory Seminar, Texas A&M University, April 2005__On effective Witt decomposition and Cartan-Dieudonné theorem__, Number Theory Seminar, Texas A&M University, September 2004__Points of small height with arithmetic conditions__, Number Theory Seminar, University of Texas at Austin, November 2003

Other special programs and conferences attended

- Arizona Winter School:
*Special Functions and Transcendence*, Tucson, AZ, March 2008 - SMS-NATO ASI 2005:
*Equidistribution in Number Theory*, Montreal, Canada, July 2005 - Arizona Winter School:
*Number Theory and Physics*, Austin, TX, March 2004 - NSF-CBMS Special Program:
*Web of Modularity*, Urbana, IL, June 2003 - MSRI Summer Program:
*Excursions in Computational Number Theory - Polynomials with integer coefficients*, Vancouver, Canada, June 2002;__Project and presentation__:*Heights of products of cyclotomic polynomials* - Illinois Number Theory Conference, Urbana,
IL, May 2002
- Arizona Winter School:
*Periods*, Tucson, AZ, March 2002

Research supervision and mentoring

**Postdoctoral fellows
supervision**

· David Krumm (at Claremont McKenna College),
2013 - 2015

**Ph.D. students**

· Glenn Henshaw, (joint with Wai Kiu Chan)
Ph.D. from Wesleyan University, May 2012

· Xun Sun, Ph.D. from Claremont Graduate
University, May 2015

· David Kogan, Ph.D. from Claremont Graduate
University, August 2022

· Maxwell Forst, Ph.D. from Claremont Graduate
University, August 2023

· Sehun Jeong, Ph.D. in progress at Claremont
Graduate University

· Stephanie Reyes, Ph.D. in progress at
Claremont Graduate University

**Ph.D. and M.S. thesis
committee service**

**
· ****
**Member of the Ph.D. Dissertation Committee
for Ahmed Al Fares (Claremont Graduate University, Ph.D.
August 2022)

· External Examiner for Aled Williams's Ph.D.
Dissertation (Cardiff University, Ph.D. February 2022)

· External Examiner for Jose Miguel Cruz's M.S.
Thesis (Universidad de los Andes, M.S. July 2020)

· External Examiner for Santiago Cortes Gomez's
M.S. Thesis (Universidad de los Andes, M.S. May 2018)

· External Examiner for Dilbak Mohammed's Ph.D.
Dissertation (Cardiff University, Ph.D. December 2016)

· Gutachter/Expert Referee for Carsten Thiel's
Ph.D. Dissertation (University of Magdeburg, Ph.D. February
2014)

· External Member of the Ph.D. Dissertation
Committee for Nikolas Rauh (University of Texas at Austin,
Ph.D. May 2013)

· External Member of the Ph.D. Dissertation Committee for Mark Rothlisberger (University of Texas at Austin, 2010)

**Undergraduate thesis and
research supervision**

· Advisor for senior thesis student Danzhe Chen (Claremont McKenna College, B.A. expected May 2024)

· Advisor for senior thesis student Tanis Nielsen (Harvey Mudd College, B.A. May 2023)

· Advisor for senior thesis student Carl Bell
(Pomona College, B.A. May 2023)

· Advisor for senior thesis student Siki Wang
(Claremont McKenna College, B.A. May 2022, Best Thesis Award)

· Advisor for summer research and senior thesis
student Yingqi (Ed) Shi (Claremont McKenna College, B.A. May
2020, Outstanding Math Major Award)

· Advisor for senior thesis student Alexander
Hsu (Claremont McKenna College, B.A. December 2019, Best
Thesis Award and Outstanding Math Major Award)

· Advisor for senior thesis student Yuxin
(Jessie) Xin (Claremont McKenna College, B.A. May 2019)

· Advisor for senior thesis student Scott
Maislin (Claremont McKenna College, B.A. May 2017)

· Advisor for senior thesis student Mia
Siracusa (Scripps College, B.A. May 2017)

· Advisor for senior thesis student Michelle
Goodwin (Claremont McKenna College, B.A. May 2016)

· Advisor for senior thesis student Emma
Cranston (Scripps College, B.A. May 2016)

· Advisor for independent study students Joshua
Corwin and Christian Modjaiso (Pitzer College, Summer 2015)

· Advisor for senior thesis student Tatiana
Bradley (Scripps College, B.A. May 2015)

· Advisor for senior thesis student John
Shaughnessy (Claremont McKenna College, B.A. May 2014, Best
Thesis Award)

· Advisor for senior thesis and research
student Michael Mei (Pomona College, B.A. May 2014)

· Advisor for research student Arvind Suresh
(Claremont McKenna College, Spring and Summer 2013)

· Advisor for senior thesis student Jonathan
Raiman (Pomona College, B.A. May 2013)

· Reader for senior thesis student Amanda Clemm
(Scripps College, B.A. May 2012)

**Research
programs
supervision**

- Instructor
and Project Leader for the Claremont Colleges Fletcher
Jones Summer 2011 Research Program for graduate and
undergraduate students, Summer 2011
- Instructor and Project Leader for an NSF-funded REU program, Claremont Colleges REU, 2009

- Mentor for the MAA Project
NExT fellow Konrad Aguilar (Pomona College)

** Professional activities and service**

**Organizing activities**

- Member of the scientific committee for the
CIMPA Summer School on Lattices, Diophantine Approximation
and Heights, Urgench State University, Uzbekistan (June 24
- July 5, 2024)

- Co-organizer (with D. Froncek, Z. Liu and
K. Petersen) of the Number Theory and Combinatorics in
Duluth, University of Minnesota Duluth (July 31 - August
4, 2023)

- Member of the scientific committee for the
WAMS Summer School on Lattices, Diophantine Approximation
and Heights, Urgench State University, Uzbekistan (June
6-10, 2022)

- Member of the scientific committee for the Southern California Discrete Mathematics Symposium, 2020 - present
- Co-organizer (with Y. Demiroglu and P. Galashin) of the Southern California Discrete Mathematics Symposium 2022, Claremont, California (May 1, 2022)
- Co-organizer (with S. Assaf) of the Southern
California Discrete Mathematics Symposium 2019, Claremont,
California (May 4, 2019)
- Co-organizer (with S. Akhtari and C. Petsche)
of
__AMS Special Session:__at the Joint Mathematics Meeting - 2018, San Diego, California (January 12 - 13, 2013)*Diophantine Approximation and Analytic Number Theory in Honor of Jeffrey Vaaler* - Co-organizer (with D. Krumm) of AMS Special
Session:
*Heights, Diophantine problems, and lattices*, Riverside, California (November 2-3, 2013) - Co-organizer (with W. K. Chan) of
__AMS Special Session:__at the Joint Mathematics Meeting - 2013, San Diego, California (January 10, 2013)*Arithmetic theory of quadratic forms and lattices* - Co-organizer (with W. K. Chan, R.
Schulze-Pillot, J. D. Vaaler) of a 5-day workshop on
Diophantine methods, lattices, and arithmetic theory of
quadratic forms, BIRS, Banff, Canada (November 13 - 18,
2011)
- Co-organizer (with S. Garcia) for the
Claremont Mathematics Colloquium, Claremont Colleges,
2011-2012
- Co-organizer (with G. Karaali) for the
Algebra / Number Theory / Combinatorics seminar, Claremont
Colleges, 2009-present
- Co-organizer (with M. Beck) of AMS Special
Session:
*Diophantine problems and discrete geometry*, AMS Spring Western Section Meeting, Claremont, CA, May 2008 - Local organizer of AMS Spring Western Section
Meeting, Claremont, CA, May 2008
- Organizer for the Number Theory seminar,
Texas A&M University, 2006-2007
- Organizer for the Working Number Theory
seminar, Texas A&M University, 2004 - 2005

**Reviewing and refereeing
service**

__Referee for the following journals__:

- Journal of Number Theory
- Canadian Mathematical Bulletin
- International Journal of Number Theory
- Mathematics of Operations Research
- Journal of Combinatorial Theory A
- Acta Arithmetica
- Proceedings of the American
Mathematical Society
- Advances in Geometry
- American Mathematical Monthly
- Mathematica Bohemica
- Geometriae Dedicata
- Involve
- Electronic Journal of Combinatorics
- Proceedings of the London Mathematical
Society
- Journal de Théorie des Nombres de
Bordeaux
- Canadian Journal of Mathematics
- SIAM Journal on Discrete Mathematics
- Symposium on Discrete Algorithms
- Mathematics of Computation
- Alabama Journal of Mathematics
- Houston Journal of Mathematics
- Mathematical Intelligencer
- Moscow Journal of Combinatorics and
Number Theory
- Communications in Mathematics
- Pacific Journal of Mathematics
- European Journal of Combinatorics
- Advances in Mathematics of
Communication
- The Ramanujan Journal
- Discrete Mathematics
- Discrete and Computational Geometry
- Cryptography and Communications
- Computational and Applied Mathematics
- Linear Algebra and its Applications
- IMRN
- Designs, Codes and Cryptography
- Journal of Analysis
- Combinatorial Theory
- Integers
- Expositiones Mathematicae
- Monatshefte fur Mathematik
- Mathematical Research Letters
- La Mathematica
- Illinois Journal of Mathematics
- TWMS Journal of Applied and Engineering Mathematics
- SIAM Journal on Applied Algebra and Geometry
- Lithuanian Mathematical Journal
- Journal of Knot Theory and its Ramifications
- Semigroup Forum

__Referee for the following proceedings:__

- A Journey Through Discrete Mathematics
- IWOTA 2019 Proceedings

__Referee / reviewer for the following book publishers:__

- Pearson Publishing
- W. H. Freeman Publishing
- Springer Developments in Mathematics
Series
- Cambridge University Press
- American Mathematical Society

__Referee for the following grants and fellowships:__

- National Security Agency
- Canada Council for the Arts: Killam
Program
- Marie Curie Actions: Career Integration
Grant program
- Davidson Fellows Scholarship program

__Reviewer for the following reviewing services:__

- AMS Mathematical Reviews (MathSciNet)
- Zentralblatt MATH (zbMATH)

Special Teaching and Outreach Activities

- Member of a Zippia expert panel on current
analytic job market trends, January 2021
- Judge for SOLVE 2019 competition of the
Pasadena Unified School District Math Academy US, May 11,
2019 at CalTech
- 3rd Grade Math Circle at Chaparral
Elementary School (Claremont, CA), AY 2018 - 2019
- Local organizer for Center for Talented
Youth Science and Technology event at Claremont McKenna
College, October 2018
- Judge for SOLVE 2018 competition of the
Pasadena Unified School District Math Academy US, May 5,
2018 at CalTech
- Chaparral Elementary School Career Day
presentation (Claremont, CA), February 23, 2018
- Judge for SOLVE 2017 competition of the
Pasadena Unified School District Math Academy US, May 13,
2017 at CalTech
- Co-organizer (with D. Needell) of the CMC
Math Club, 2013
- Co-organizer (with CMC Career Services) of
the CMC Careers in Mathematics Event, 2012
- Co-organizer (with M. O'Neill) of the CMC
4th annual Atul Vyas Memorial Lecture in Mathematics, 2011
- Speaker for a GEMS (Gateway to Exploring
Mathematical Sciences) event for middle school students,
2009
- Co-organizer (with M. O'Neill) of Putnam
preparation seminar at Claremont McKenna, 2007, 2008
- Co-organizer (with M. O'Neill) of a
mathematical problem-solving contest at Claremont McKenna,
2008
- Speaker and contest problem grader for Math
Awareness event for elementary, middle, and high school
students, 2006
- Assistant Instructor for an REU/VIGRE
course, 2005
- Participated in Texas A&M Summer Honors
Invitational Program (SHIP) for high school students, 2005
- Instructor for Emerging Scholars Program
(ESP), 2001-2002
- Instructor for Supplemental Instruction
Program (SI), 2001

Courses Taught

- Topics in Discrete Optimization (graduate
topics course),
*Claremont Graduate University*, Instructor

- Algebraic and Transcendental Numbers
(advanced topics course),
*Claremont McKenna College*, Instructor

- Geometric Number Theory (advanced topics
course),
*Claremont McKenna College*, Instructor - Coding Theory (advanced topics course),
*Claremont McKenna College*, Instructor - Number Theory and Connections to Computer
Science,
*Claremont McKenna College*, Instructor - Transcendental Number Theory (advanced
topics course),
*Claremont McKenna College*, Instructor - Algebraic Number Theory (advanced topics
course),
*Claremont McKenna College*, Instructor - Abstract Algebra II: Galois Theory,
*Claremont McKenna College*, Instructor - Abstract Algebra I,
*Claremont McKenna College*, Instructor - Discrete Geometry (advanced topics course),
*Claremont McKenna College*, Instructor - Linear Algebra,
*Claremont McKenna College*, Instructor - Number Theory,
*Claremont McKenna College*, Instructor - Calculus I, II, III, Calculus III (regular
and honors),
*Claremont McKenna College*, Instructor - Diophantine Approximations and Geometry of
Numbers (graduate special topics course),
*Texas A&M University*, Instructor - Linear Algebra (Honors) for math and
science majors,
*Texas A&M University*, Instructor - Linear Algebra for engineering majors,
*Texas A&M University*, Instructor - Analytic Geometry and Calculus for math and
science majors,
*Texas A&M University*, Instructor - Engineering Calculus II (Honors),
*Texas A&M University*, Instructor - REU/VIGRE Course: Algebraic Methods in
Computational Biology,
*Texas A&M University*, Assistant Instructor - Methods of Applied Mathematics I (graduate
engineering course),
*Texas A&M University*, Instructor - Elementary Functions and Coordinate
Geometry (Precalculus),
*University of Texas at Austin*, Instructor - Differential and Integral Calculus (first
and second semesters),
*University of Texas at Austin*, Teaching Assistant - Calculus for Business and Economics,
*University of Texas at Austin*, Teaching Assistant - Differential Equations,
*University of Texas at Austin*, Teaching Assistant

Lecture Notes (available on the webpage in PDF format)

- Topics in Discrete Optimization: lecture
notes for the graduate topics course at Claremont Graduate
University, Fall 2022

- Geometric Number Theory: lecture notes for
the special topics course at Claremont McKenna, Spring 2019
- Transcendental Number Theory: lecture notes
for the special topics course at Claremont McKenna, Spring
2015
- Discrete Geometry: lecture notes for the
special topics course at Claremont McKenna, Fall 2008 and
Fall 2013
- Diophantine Approximation and Geometry of
Numbers: lecture notes for the special topics course at
Texas A&M, Spring 2006

Computing Skills

- Various UNIX-type operating systems,
Windows, Mac OS
- C, C++, Java, SQL, and other programming
languages
- TCP/IP, CGI, ASP, and other communication
protocols
- DB2, Oracle, and other database systems