cv


Education

  • University of Wisconsin at Madison, 2000 - 2003
    Ph.D., Mathematics, 2003
    NSF VIGRE Fellowship, Graduate Student Research Award

  • University of Texas at Austin, 1995 - 2000
    University Preemptive Fellowship, Edward Louis & Alice Laidman Dodd Fellowship,
    Regents Endowed Graduate Fellowship, David Bruton Jr. Fellowship

  • University of Wisconsin at Madison, 1990 - 1995
    B.S. with Honors, Mathematics, 1995
    Phi Beta Kappa, Mark H. Ingraham Award (Math), L. R. Ingersoll Prize (Physics)

  • Howards Grove High School, 1986 - 1990
    Valedictorian, 1990


Professional Positions

  • Max-Planck-Institut für Mathematik
    Visiting Scientist, 2014-2017
    Bonn, Germany

  • The University of Queensland
    Postdoctoral Research Fellow, 2009-2012
    Brisbane, Australia

  • The Pennsylvania State University
    VIGRE/S. Chowla Postdoc, Lecturer, 2005-2008
    State College, Pennsylvania

  • Max-Planck-Institut für Mathematik
    Postdoctoral Position, 2003-2004
    Bonn, Germany


Visiting Positions

  • Max-Planck-Institut für Mathematik
    Visiting Scientist, March/April 2006
    Bonn, Germany


Research Interests

  • Number Theory,
  • Modular forms,
  • q-series.

Publications

[20] E. T. Mortenson,
On ranks and cranks of partitions modulo 4 and 8,
Journal of Combinatorial Theory, Series A 161 (2019), 51-80.
[19] E. T. Mortenson,
On the tenth-order mock theta functions,
Journal of the Australian Mathematical Society 104 (2018), no. 1, 44-62.
[18] E. T. Mortenson,
A Kronecker-type identity and the representations of a number as a sum of three squares,
Bulletin of the London Mathematical Society 49 (2017), no. 5, 770-783.
[17] D. R. Hickerson, E. T. Mortenson,
Dyson's Ranks and Appell-Lerch sums,
Mathematische Annalen 367 (2017), no. 1-2, 373-395.
[16] E. T. Mortenson,
A double-sum Kronecker-type identity,
Advances in Applied Mathematics 82 (2017), 155-177.
[15] E. T. Mortenson,
Ramanujan's radial limits and mixed mock modular bilateral q-hypergeometric series,
Proceedings of the Edinburgh Mathematical Society (2) 59 (2016), no. 3, 787-799.
[14] E. T. Mortenson,
Eulerian series as modular forms revisited,
Proceedings of the American Mathematical Society 143 (2015), no. 6, 2379-2385.
[13] E. T. Mortenson,
On the dual nature of partial theta functions and Appell-Lerch sums,
Advances in Mathematics 264 (2014), no. 2, 236-260.
[12] D. R. Hickerson, E. T. Mortenson,
Hecke-type double sums, Appell-Lerch sums, and mock theta functions, I,
Proceedings of the London Mathematical Society (3), 109 (2014), no. 2, 382-422.
[11] E. T. Mortenson,
Threefield identities and simultaneous representations of primes by binary quadratic forms,
Journal of Number Theory 133 (2013), no. 11, 3902-3920.
[10] E. T. Mortenson,
On three third order mock theta functions and Hecke-type double sums,
Ramanujan Journal 30 (2013), no. 2, 279-308.
[9] E. T. Mortenson,
Ramanujan's 1ψ1 summation, Hecke-type double sums, and Appell-Lerch sums,
Ramanujan Journal 29 (2012), no. 1-3, 121-133.
[8] E. T. Mortenson,
On differentiation and harmonic numbers,
Utilitas Mathematica 80 (2009), 53-57.
[7] E. T. Mortenson,
A p-adic supercongruence conjecture of van Hamme,
Proceedings of the American Mathematical Society 136 (2008), no. 12, 4321-4328.
[6] A. Milas, E. T. Mortenson, K. Ono,
Number theoretic properties of Wronskians of Andrews-Gordon series,
International Journal of Number Theory 4 (2008), no. 2, 323-337.
[5] E. T. Mortenson,
On the broken 1-diamond partition,
International Journal of Number Theory 4 (2008), no. 2, 199-218.
[4] E. T. Mortenson,
Modularity of a certain Calabi-Yau threefold and combinatorial congruences,
Ramanujan Journal 11 (2006), no. 1, 5-40.
[3] E. T. Mortenson,
Supercongruences for truncated n+1Fn hypergeometric series with applications to certain weight three newforms,
Proceedings of the American Mathematical Society 133 (2005), no. 2, 321-330.
[2] E. T. Mortenson,
Supercongruences between truncated 2F1 hypergeometric functions and their Gaussian analogs,
Transactions of the American Mathematical Society 355 (2003), no. 3, 987-1007.
[1] E. T. Mortenson,
A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function,
Journal of Number Theory 99 (2003), no.1, 139-147.



Invited Seminar and Colloquium Talks

  • 2018 tbd: University of Illinois at Urbana-Champaign, Number Theory Seminar.
  • 2017 April: University of Wisconsin at Madison, Number Theory Seminar.
  • 2017 March: Max-Planck-Institut für Mathematik, Number Theory Lunch Seminar.
  • 2017 March: Chalmers University of Technology, Seminar in Algebraic Geometry and Number Theory.
  • 2014 April: Universität Wien, Arbeitsgemeinschaft für Diskrete Mathematik Seminar.
  • 2014 January: Universität zu Köln, Number Theory Seminar.
  • 2013 October: The University of Melbourne, Statistical Mechanics Seminar.
  • 2012 May: The University of Queensland, Pure Maths Seminar.
  • 2012 April: The University of Newcastle, CARMA Seminar.
  • 2010 November: The University of Newcastle, Department Colloquium.
  • 2008 April: University of Exeter.
  • 2007 December: San Francisco State University, Number Theory Seminar.
  • 2007 May: Stanford University, Number Theory Seminar.
  • 2006 November: University of South Carolina, Number Theory Seminar.
  • 2006 March: Max-Planck-Institut für Mathematik, Number Theory Lunch Seminar.
  • 2005 April: State University of New York-Albany, Department Colloquium.
  • 2003 December: Ruprecht-Karls-Universität Heidelberg, Number Theory Seminar.
  • 2003 September: Max-Planck-Institut für Mathematik, Number Theory Lunch Seminar.
  • 2002 December: University of Illinois at Urbana-Champaign, Number Theory Seminar.
  • 2002 November: Pennsylvania State University, Algebra and Number Theory Seminar.
  • 2002 April: University of Pennsylvania, Combinatorics Seminar.

Contributory Talks

  • 2011 May: International Conference on Asymptotics and Special Functions, City University of Hong Kong, China.
  • 2011 May: Magma Number Theory Day, Sydney, Australia.
  • 2010 November: 28th Annual Victorian Algebra Conference, Melbourne, Australia.
  • 2010 September: 54th Annual AustMS Meeting, Brisbane, Australia, September.
  • 2010 July: 11th Meeting of the Canadian Number Theory Association, Wolfville, Nova Scotia, Canada.
  • 2006 November: AMS Special Session on Analytic Number Theory and Modular Forms, Fall Southeastern Sectional Meeting,
    Fayetteville, Arkansas.
  • 2003 January: AMS Special Session on Elliptic curves and Modular forms, AMS-MAA Joint National Meeting,
    Baltimore, Maryland.
  • 2002 October: AMS Special Session on Arithmetic Algebraic Geometry, Fall Central Sectional Meeting,
    Madison, Wisconsin.
  • 2002 June: 7th Meeting of the Canadian Number Theory Association, Montreal, Canada.
  • 2001 May: Illinois Number Theory Conference, Urbana, Illinois.

Teaching

  • University of Queensland
    • Math 2301 Linear & Abstract Algebra & Number Theory (Weeks 7-12): Fall 2011
    • Math 4304 Number Theory (Weeks 1-6): Spring 2010
  • Pennsylvania State University
    • Math 140 Calculus I: Spring 2005, Fall 2008 (two sections)
    • Math 141 Calculus II: Fall 2005 (two sections), Fall 2007 (two sections), Spring 2008
    • Math 311 Concepts of Discrete Mathematics: Spring 2007
    • Math 435 Basic Abstract Algebra: Fall 2006

Other Professional Activites

  • Max-Planck-Institut für Mathematik Number Theory Seminar,
    January 2015 - December 2016: Co-organizer
    October 2003 - November 2004: Organizer
  • Referee work: ACTA Arithmetica, Advances in Applied Mathematics, Advances in Mathematics, Annals of Combinatorics, Arabian Journal of Mathematics, Australasian Journal of Combinatorics, International Journal of Number Theory, International Mathematics Research Notices, Involve, Journal of the Australian Mathematical Society, Journal für die Reine und Angewandte Mathematik, Journal of Algebra and Its Applications, Journal of Combinatorial Theory Series A, Journal of Integer Sequences, Journal of Mathematical Analysis and Applications, Journal of Number Theory, Methods and Applications of Analysis, Proceedings of the American Mathematical Society, Proceedings of the Edinburgh Mathematical Society.


Outreach Activities

  • Wisconsin Mathematics, Engineering and Science Talent Search:
  • Fall 2002 - Spring 2003: Problem Set Grader.
    Fall 2001 - Spring 2002: Problem Set Grader.
    Fall 2000 - Spring 2001: Problem Set Grader.


Professional Honors and Awards

  • Distinguished as one of four leading researchers in mock theta functions in volume five of George Andrews and Bruce Berndt's series of texts on Ramanujan's lost notebook.

Graduate Honors and Awards at UW-Madison

  • Graduate Student Research Award, Department of Mathematics, Spring 2003.
    (awarded to the top PhD thesis in mathematics.)
  • VIGRE Fellowship, Department of Mathematics, Spring 2003.

Graduate Honors and Awards at UT-Austin

  • David Bruton, Jr. Fellowship, Graduate School, Fall 1998.
  • Regents Endowed Graduate Fellowship, Department of Mathematics, Fall 1996.
  • Edward Louis & Alice Laidman Dodd Fellowship, Department of Mathematics, Fall 1995-Spring 1997.
  • University Preemptive Fellowship, Graduate School, Fall 1995-Summer 1996.

Undergraduate Honors and Awards at UW-Madison

  • Phi Beta Kappa, University of Wisconsin at Madison, Spring 1993.
  • Mark H. Ingraham Award, Department of Mathematics, University of Wisconsin at Madison, Spring 1993.
    (awarded to the top undergraduate mathematics major.)
  • L.R. Ingersoll Prize, Department of Physics, University of Wisconsin at Madison, Spring 1992.
    (awarded to the top student in the General Physics 207-208 sequence.)
  • William F. Vilas Merit Scholarship, University of Wisconsin at Madison, Fall 1990 - Spring 1994.
  • Wisconsin Academic Excellence Scholarship, State of Wisconsin, Fall 1990 - Spring 1994.

Miscellaneous Awards

  • National Youth Science Camp, Summer 1990.
    (one of two Wisconsin delegates.)

Comments