Curriculum Vitae

Jennifer Paulhus, Ph.D.


  1. Current Address
  2. Academic Degrees
  3. Employment
  4. Publications
  5. Invited Talks
  6. Conference Talks
  7. Workshops
  8. Honors and Awards
  9. Teaching
  10. Service

Current Address:
Department of Mathematics
Kansas State University
138 Cardwell Hall
Manhattan, KS 66506-2602
e-mail: paulhus [at] math [dot] ksu [dot] edu
webpage: http://www.math.ksu.edu/~paulhus

Citizenship: United States

Interests: algebraic number theory, arithmetic geometry, elliptic and hyperelliptic curves, function fields, representation theory, exponential sums, parity of k-th powers mod p

Academic Degrees:
Ph.D. in Mathematics
University of Illinois at Urbana-Champaign (UIUC), May 2007
Thesis Advisor: Iwan Duursma
B.A. in Mathematics with honors, Computer Science concentration, magna cum laude
College of the Holy Cross, May 1999

Employment:
Assistant Professor-Term Appointment (postdoc) Kansas State University, August 2007-present

Other Employment: From the summer of 2000 through the summer of 2001 I was a caseworker at a men's homeless shelter through the Americorps/CHART program.


Publications:
J. Bourgain, T. Cochrane, J. Paulhus, and C. Pinner. Decimations of l-sequences and permutations of even residues mod p. SIAM Journal on Discrete Mathematics. 232(2): 842-857, 2009.

J. Paulhus. Decomposing Jacobians of curves with extra automorphisms, Acta Arith., 132(3): 231-244, 2008.

J. Paulhus. Elliptic factors in Jacobians of low genus curves, Ph.D. thesis, University of Illinois at Urbana-Champaign, 2007.

C. Girod, M. Lepinski, J. Mileti, and J. Paulhus Cwatset Isomorphism and its Consequences Rose-Hulman Mathematical Sciences Technical Report Series, vol 1. 2000.
Work from an NSF Research Experience for Undergraduates


Submitted Papers and Preprints: Preprints and thesis available at http://www.math.ksu.edu/~paulhus.

L. Berger, J.-L. Hoelscher, Y. Lee, J. Paulhus and R. Scheidler. The l-rank structure of a global function field. Submitted.

A. Bennett, R. Manspeaker, R. Natarajan, and J. Paulhus. Studio College Algebra at Kansas State University. Submitted.

J. Bourgain, T. Cochrane, J. Paulhus, and C. Pinner. On the parity of k-th powers mod p: A generalization of a problem of Lehmer. In Preparation.

J. Paulhus. Elliptic factors in Jacobians of hyperelliptic curves with certain automorphism groups. preprint.


Invited Talks:
Joint AMS/MAA Meeting, San Francisco, January 2010
    MAA-AMS-MER Invited Paper Session on Mathematics and Education Reform
AMS Fall Eastern Section Meeting, Penn State University, October 2009
    Special Session on Automorphisms of Riemann Surfaces and Related Topics
Iowa State University Colloquium, October 2009
University of Calgary Number Theory Seminar, July 2009
University of Alaska-Fairbanks Colloquium, March 2009
North Dakota State University Colloquium, February 2009
Joint AMS/MAA Meeting, Washington, DC., January 2009
    AMS Special Session on Group Actions on Curves
University of Georgia Number Theory Seminar, December 2008
Dartmouth College, Colloquium, May 2008
University of Nebraska-Lincoln, Colloquium, April 2008
Joint AMS/MAA Meeting, San Diego, January 2008
    AMS Special Session on Low Genus Curves and Applications
Colorado State University, Number Theory Seminar, October 2007
Joint AMS/MAA Meeting, New Orleans, January 2007
    AMS Special Session on Arithmetic of Function Fields


Other Conference Talks:
West Coast Number Theory Conference, Asilomar, December 2009
Western Number Theory Conference, Colorado State University, December 2008
Canadian Number Theory Association X Meeting, Waterloo, July 2008
Canadian Number Theory Association IX Meeting, Vancouver, July 2006
West Coast Number Theory Conference, Asilomar, December 2005
Midwest Number Theory Conference for Graduate Students, University of Wisconsin, November 2005
Midwest Number Theory Conference for Graduate Students, UIUC, February 2005



Seminar Talks:
Kansas State University
  • Number Theory Seminar. A series of talks giving an overview of my research, September 2007
  • Algebra Seminar. A series of talks explaining how I use representation theory in my research, October 2007

    • UIUC: Number Theory Seminar
  • On Hyperelliptic Curves with Elliptic Quotients, October 2005
  • On the Modularity of Fermat Curves, April 2004
  • Elliptic Curves and Selmer Groups, April 2003
  • A Proof of Catalan's Conjecture, September 2002


    • Workshops:
    Women in Numbers , Banff International Research Station, November 2008
    Rational Points on Curves, Banff International Research Station, February 2007
    Arizona Winter School, March 2006
    Worked on a group project entitled: "Computing cohomology in algebraic geometry" under the direction of Professor Michael Stillman.

    Honors and Awards:
    Mathematics Instructional Award, Spring 2004
    Awarded by UIUC Mathematics Department
    Incomplete List of Teachers Recognized as Excellent by Their Students
    Fall 2001, Spring 2002, Fall 2003
    The Gertrude McBrien Mathematics Prize
    Awarded by The College of the Holy Cross Mathematics Department for proficiency in mathematics
    Phi Beta Kappa Member

    Graduate Fellowships:
    VIGRE: Spring 2003
    GAANN: Fall 1999 - Spring 2000, Summer 2003, Spring 2004


    Teaching:
    Kansas State University (+ indicates graduate course)
  • Introduction to the Theory of Groups+, Summer 2008
  • Topics In Number Theory: Elliptic Curves+, Spring 2008
  • Discrete Math Fall 2008, Fall 2009
  • Introduction to Contemporary Mathematics Fall 2009
  • Studio College Algebra Spring 2008, Fall 2008
  • College Algebra, Fall 2007, Spring 2009

    • Graduate Teaching Assistant: UIUC (* indicates primary instructor)
  • Grader: Homological Algebra and Graduate Abstract Algebra II, Spring 2006
  • Grader: Graduate Abstract Algebra I and II, Fall 2005
  • Calculus for Business*, Spring 2005, large lecture
  • A Mathematical World*, Fall 2004
  • College Algebra*, Fall 2002
  • Theory of Arithmetic, Fall 2001, Spring 2002, Fall 2003
  • Calculus for Business*, Summer 2000
  • Introductory Matrix Theory*, Spring 2000
  • Calculus I, Fall 1999

    • Teaching Assistant: College of the Holy Cross
  • Intensive Calculus for the Physical and Life Sciences 1, Fall 1998
  • Intensive Calculus for the Physical and Life Sciences 2, Spring 1999
  • Department Calculus Tutor, Fall 1996-Spring 1998


    • Service:
    Reviewer: AMS Mathematical Reviews
    Co-organizer: AMS Speical Session on Arithmetic Geometry, AMS/MAA Meetings, January 2010
    Co-organizer: Midwest Number Theory Conference for Graduate Students and Recent PhDs II, UIUC, February 2005
    Organizer: Graduate Student Seminar, Algebraic Number Theory, UIUC, Summer 2003
    (We read parts of Serre's Local Fields and Washington's Introduction to Cyclotomic Fields)
    Co-organizer: Seminar for Women in Math, UIUC, Fall 2002 - Spring 2003
    (A seminar series giving women in the department an opportunity to give a math talk in a relaxed environment)
    Committee: Department of Mathematics Teaching Awards Committee, UIUC, Spring 2005
    Committee: Non-academic Staff Award Committee, UIUC, Fall 2002-Spring 2003
    Committee: Space Committee, UIUC, Fall 2003-Spring 2004

    Memberships:
    American Mathematical Society

    Computer Expertise: Proficient in C++, php, and most computer algebra packages (including GAP, MAGMA, PARI/GP, and Macaulay2)