Curriculum
Vitae
Lenny Fukshansky
Address
Department of
Mathematics
Claremont McKenna College
850 Columbia Avenue
Claremont, CA
91711
Phone:
(909) 607 - 0014
Fax:
(909)
621 - 8419
Email: lenny@cmc.edu
Webpage: http://math.cmc.edu/lenny/
Personal
- Citizenship: USA
- Born in Leningrad, Russia
- Fluent in Russian (native) and English languages
- Member of AMS
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
- Chair of the Department of Mathematical Sciences, Claremont
McKenna College, July 2012 - present
- Member of Extended Graduate Faculty, Claremont Graduate
University, January 2010 - present
- Associate Professor (with tenure), Claremont McKenna College,
December 2009 - 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
- 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
- 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, no. 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
- Well-rounded
zeta-function of planar arithmetic lattices, to appear
in the Proceedings of the AMS
- (with Wai Kiu Chan and Glenn Henshaw) Points and subspaces of
small height in quadratic and linear spaces, submitted
for publication
- (with Glenn Henshaw) Lattice point counting and height bounds over
number fields and quaternion algebras, submitted for
publication
- (with Xun Sun) On
the geometry of cyclic lattices, submitted for
publication
Editorial
- "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
- Simons Foundation Collaboration Grant for Mathematicians,
2013-2018
- 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 -- Summer
2008, Fall 2010, Fall 2011, Summer 2012
- 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
- 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 Q, AMS
Special
Session on Mahler Measure and Heights, Joint
Mathematics Meeting, San Antonio, TX, January 2006
- 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
- 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 Q,
XXIVth
Journées
Arithmétiques, Marseilles, France, July 2005
- 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 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 Sceinces, 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
Seminar talks
- 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
Ph.D. students
Other student research supervision
and thesis committee
service
Professional activities and service
- 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: Arithmetic theory of
quadratic forms and lattices at the Joint
Mathematics Meeting - 2013, San Diego, California (January
10, 2013)
- Co-organizer (with W. K. Chan, R. Schulze-Pillot, J. 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
- Referee for 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
- Referee for Canada
Council for the Arts: Killam Program, Marie
Curie Actions: Career Integration Grant program, National
Security Agency
- Reviewer for the 4-th edition of ``A
Friendly Introduction to Number Theory" by J. H. Silverman (Pearson Publishing,
2010), the 6-th edition of ``Vector
Calculus" by J. E.
Marsden and A. J.
Tromba (W. H. Freeman
Publishing, 2011)
- Reviewer for Mathematical
Reviews and Zentralblatt
MATH
- 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
Special Teaching and Outreach Activities
- Organizer 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
- 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 (special topics course), Claremont McKenna College,
Instructor
- Linear Algebra, Claremont
McKenna College, Instructor
- Number Theory, Claremont
McKenna College, Instructor
- Calculus I and II, Calculus III (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 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)
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