KIMBERLY HOPKINS

University of Texas at Austin
Department of Mathematics
1 University Station C1200
Austin, TX 78712
Phone: (512) 475-9141
E-mail: khopkins@math.utexas.edu


 

INTERESTS
Analytic and algebraic number theory, modular forms, modular curves, Heegner points, L-functions, random matrix theory

EDUCATION

Mathematics, University of Texas at Austin, Austin, TX, 2004-Present
Advisor: Fernando Rodriguez Villegas


B.S. Mathematics, University of California Santa Barbara, Santa Barbara, CA, 2004
Advisor: Jeffrey Stopple


TEACHING EXPERIENCE
University of Texas at Austin, Austin, TX


Teaching Assistant for Fractals and Dynamics, July 2008
Assisted a class of 15 students five times a week

Instructor for Precalculus, Fall 2007, Spring 2008
Instructed a class of 40 students five times a week


Teaching Assistant for Differential Equations, Spring 2006
Lectured to a section of 120 students two times a week

Teaching Assistant for Differential Equations, Fall 2005
Lectured to a section of 50 students two times a week

HONORS and AWARDS
  • Bruton Presidential Fellowship, UT Austin, Summer 2008
  • Frank Gerth III Teaching Excellence Award, UT Austin, 2005-2006
  • Donald D. Harrington Endowment Fellowship, three years, UT Austin, 2004-Present
  • 2004 Alice T. Schafer Prize (Association for Women in Mathematics), 2004
  • University of California Leadership and Excellence Through Advanced Degrees (UCLEADS) (grant and program), Santa Barbara, CA, Summer 2002-2004
  • University of California Santa Barbara Chancellor’s Award, 2004
  • Raymond L. Wilder Award, UC Santa Barbara, 2004
  • Distinction in the Major, Santa Barbara, CA 2004
  • Deans Honors, Fall 2001, Spring 2002, Fall 2002, Winter 2003, Spring 2003; Fall 2003, Winter 2004, Spring 2004
  • Graduation with High Honors, Santa Barbara, CA 2004
  • Undergraduate Research and Creative Projects Award/Grant, UC Santa Barbara, 2002


PAPERS
  • K. Hopkins, Bounds on discriminants with one class per genus, (submitted)
  • W. Duke and K. Hopkins, Quadratic reciprocity in a finite group, MAA Monthly (2005)
  • K. Hopkins, Computing the Incomplete Gamma Function, Expository (2002)
 
TALKS

Higher Weight Heegner Points

22nd Annual Workshop on Automorphic Forms, Texas A&M, March 2008

Introduction to Modular Forms (Talks I and II)
Junior (Graduate) Number Theory Seminar, UT Austin, Fall 2007
Constructing rational points on elliptic curves using Heegner points
(Candidacy Talk) Number Theory Seminar, UT Austin, Fall 2006

Elliptic curves with complex multiplication
Junior (Graduate) Number Theory Seminar, UT Austin, Fall 2006

Properties of elliptic curves as double branched covers of the projective line
Junior (Graduate) Topology Seminar, UT Austin, Spring 2006

Higher reciprocity in a finite group
Junior (Graduate) Number Theory Seminar, UT Austin, Fall 2005

Quadratic reciprocity in a finite group

Arithmetic and Geometry Seminar, UC Santa Barbara, November 2003
Junior (Graduate) Number Theory Seminar, UT Austin, Spring 2005

An introduction to quadratic reciprocity and representation theory
Sophex Seminar, UT Austin, Spring 2005
Bounds on discriminants with one class per genus
18th Annual Workshop on Automorphic Forms and Related Topics, Santa Barbara, CA March 2004
Arithmetic and Geometry Seminar, UC Santa Barbara, Spring 2003
Junior (Graduate) Number Theory Seminar, UT Austin, Fall 2004
An introduction to bounds on discriminants with one class per genus

Undergraduate Abstract Algebra class, UC Santa Barbara, Spring 2003
Sophex Seminar, UT Austin, Fall 2004
Computing the incomplete gamma function
UCSB ARC Summer Program, UC Santa Barbara, Summer 2002
An introduction to the Riemann Hypothesis
Harrington Foundation Convention (general audience), Amarillo, TX, Spring 2005
Posters
Annual Undergraduate Colloquium, UC Los Angeles, Spring 2004
UCLEADS Summer Research (Advisor: B. Duke), Summer 2003
Annual Undergraduate Colloquium, UC San Diego, Spring 2003
UCSB Summer Research Program Colloquium, UC Santa Barbara, Summer 2002


CONFERENCES ATTENDED
  • Invited Guest, UCSB, Santa Barbara, CA (July 2008)
  • Invited Guest, ETH, Zurich, Switzerland (May 2008)
  • Tatefest: A conference in honor of John Tate, UT Austin (May 2008)
  • 22nd Annual Workshop on Automorphic Forms, Texas A&M, College Station, TX (March 2008)
    Higher Weight Heegner Points
  • L-functions, ranks of elliptic curves, and random matrix theory, Banff AB CA (July 2007)
  • 21st Annual Workshop On Automorphic Forms, Santa Barbara, CA (March 2007)
  • School on Advances in Number Theory and Random Matrix Theory, Rochester, NY (Summer 2006) (Funded by AIM)
  • Conference on Advances in Number Theory and Random Matrix Theory, University of Rochester, Rochester, NY (Summer 2006)
  • 18th Annual Workshop on Automorphic Forms and Related Topics, UCSB, Santa Barbara, CA (2004)
    Bounds on discriminants with one class per genus
  • AMS Annual Meeting in Baltimore, MD (2003) (Paid for by UCLEADS grant)
  • AMS Meeting in Boulder, CO (2003) (Paid for by UCLEADS grant)
  • AMS Annual Meeting in Phoenix, AZ (January, 2004). Invited to attend and receive Alice T. Schafer Award. (Travel funded by UCSB Math Department).
 
SERVICE
  • Spring 2008, Assistant Organizer of Tatefest: A conference in honor of John Tate, UT Austin
  • Spring 2008, Chairman of 4th session at Automorphic Forms Workshop, Texas A&M
  • Spring 2006-Spring 2007, Organizer of the Junior Number Theory Seminar, UT Austin
  • January-July 2006, Assisted high school students at Saturday Morning Math group, UT Austin

COMPUTER SKILLS
  • PARI
  • Java
  • Mathematica
  • Latex