Contact Information
Dermot McCarthy
Department of Mathematics & Statistics
Texas Tech University
Lubbock, TX 794091042
Ph: (806) 8340191
Email:
dermot.mccarthy@ttu.edu
Employment
Assistant Professor, Department of Mathematics & Statistics, Texas Tech University,
September 2013  present.
Visiting Assistant Professor, Department of Mathematics, Texas A&M University,
September 2010  August 2013.
Education
Ph.D. Mathematics, University College
Dublin, Ireland, June 2010.
Dissertation: padic
Hypergeometric Series and Supercongruences
Advisor: Dr. Robert Osburn
B.Sc. Mathematics (First Class Honors), Dublin Institute of
Technology,
Ireland, October 2004.
Research Interests
Number theory, modular forms, hypergeometric
functions,
properties of algebraic varieties.
Publications
 Sequences, modular forms and cellular integrals
(with R. Osburn and A. Straub)
Submitted for publication, 26 pages.
 The number of $\mathbb{F}_p$points on Dwork hypersurfaces and hypergeometric functions
Research in the Mathematical Sciences, (2017) 4:4.
 Multiplicative relations for Fourier coefficients of degree 2 Siegel eigenforms
Journal of Number Theory, 170 (2017), 263281.
 Hypergeometric type identities in the padic setting and modular forms
(with J. Fuselier)
Proceedings of the American Mathematical
Society 144 (2016), 14931508.
 A finite field
hypergeometric function associated to eigenvalues of a Siegel eigenform
(with M. Papanikolas)
International Journal of Number Theory 11 (2015), no. 8, 24312450.
 Summation identities and special values of hypergeometric series in the padic setting
(with R. Barman and N. Saikia)
Journal of Number Theory, 153 (2015), 6384.
 The trace of Frobenius of
elliptic curves and the padic gamma
function
Pacific Journal
of Mathematics,
261 (2013), no. 1, 219236.
 Transformations of
wellpoised hypergeometric functions over finite fields
Finite Fields and
Their Applications, 18 (2012), no. 6,
11331147.
 On a supercongruence conjecture of RodriguezVillegas
Proceedings of the American Mathematical
Society 140 (2012), 22412254.
 Extending Gaussian hypergeometric series to the padic setting
International Journal of Number Theory 8 (2012), no. 7, 15811612.
 Binomial coefficientharmonic sum identities associated
to
supercongruences
Integers 11
(2011),
A37, 8 pp.
 _{3}F_{2} Hypergeometric series and
periods of
elliptic curves
International Journal of Number Theory 6 (2010), no. 3, 461470.
 A padic analogue of a
formula of
Ramanujan (with R. Osburn)
Archiv der Mathematik 91 (2008), no. 6, 492504.
Invited Talks
 Texas A&M University, Number Theory Seminar, November 2014.
 The University of Oklahoma, Algebra and Representation Theory Seminar,
October 2014.
 Texas Tech University, Colloquium,
February 2013.
 AMSMAA Joint Meetings, San Diego, California, Special Session on
Lfunctions and Arithemtic Geometry,
January 2013.
 AMS Fall Western Sectional Meeting, Tucson, Arizona, Special
Session on Automorphic and Modular Forms, October 2012.
 University of Illinois at UrbanaChampaign, Number Theory
Seminar, September 2012.
 University of Texas, Austin, Algebra, Number Theory and
Combinatorics
Seminar,
March 2012.
 University of North Texas,
Millican Colloquium, February 2012.
 Iowa State Univeristy, Combinatorics, Algebra, Number Theory
Seminar, April 2011.
 Workshop on Algebraic Varieties, Fields Institute, Toronto,
Canada, March 2011.
 Texas A&M University Number Theory Seminar, November 2009.
 University of Warwick, England, Number Theory Seminar, May 2009.
 University of Nottingham, England, Number Theory Day, May 2009.
Contributed
& Other Talks
 Texas Tech University, Algebra Seminar, March 2017.
 TexasOklahoma Representations and Automorphic Forms (TORA), The University of North Texas, April 2016.
 30th Automorphic Forms Workshop, Wake Forest University, March 2016.
 Texas Tech University, Algebra Seminar, March 2016.
 Texas Tech University, SIAM Faculty Research Seminar, October 2015.
 Texas Tech University, Algebra Seminar, November 2014.
 Texas Tech University, Applied Mathematics Seminar, November 2014.
 Conference on Challenges of Identifying Integer Sequences, Poster Session,
Center for Discrete Mathematics and Theoretical Computer Science,
Rutgers University, October 2014.
 Texas Tech University, Algebra Seminar, October 2013.
 26th Automorphic Forms Workshop, University of British Columbia,
Vancouver, Canada, April 2012.
 Texas A&M University, Postdoc Colloquium, October 2011.
 25th Automorphic Forms Workshop, Oregon State Univeristy, March
2011.
 Texas A&M University, Postdoc Colloquium, October 2010.
 Texas A&M University, Number Theory Seminar, October 2010.
 University College Dublin, Ireland, Postgraduate Research
Seminar, March 2010.
 6th Midwest Number Theory Conference for Graduate Students,
November 2009.
 University College Dublin, Ireland, Number Theory Seminar,
October 2009.
 26th Journées Arithmétiques, SaintEtienne, France, July 2009.
 University College Dublin, Ireland, Postgraduate Research
Seminar, January 2009.
 Arizona Winter School, University of Arizona, Group Presentation,
March 2008.
 University College Dublin, Ireland, Postgraduate Research
Seminar, March 2008.
 University College Dublin, Ireland, Postgraduate Research
Seminar, April 2007.
Service

Referee for the following journals:
Proceedings of the American Mathematical Society, Bulletin of the London Mathematical Society, Canadian Mathematical Bulletin, Finite Fields and their Applications, Pacific Journal of Mathematics, Journal of Number Theory, Mathematical Research Letters, Research in Number Theory, Journal of Mathematical Analysis and Applications, The Ramanujan Journal, International Journal of Number Theory, Acta Arithmetica, Journal of Integer Sequences, Mathematica Slovaca, Ars Combinatoria, Utilitas Mathematica.

Reviewer for proposals submitted to the Simons Foundation Collaboration Grant Program.

Reviewer for proposals submitted to the National Security Agency's Mathematical Sciences Grant Program.

Organizer of the Texas Tech University Department of Mathematics & Statistics' Algebra & Number Theory Seminar, Aug. 2016  present.

Member of organizing committee for TexasOklahoma Representations and Automorphic forms (TORA) conferences, 2015  present.

Organizer and leader of the Texas Tech University Math Circle, 2013  2016.

Member of Texas Tech University Department of Mathematics & Statistics' Undergraduate Committee (elected), Sep. 2014  Aug. 2016.

Organizer of the Special Session on Recent Developments in Number Theory, at the AMS Central Sectional Meeting, Texas Tech University, April 1113, 2014.

Organizer of the Texas A&M University Number Theory Seminar, 2010  2013.
Awards

Recipient of a research collaboration grant (#353329) from the Simons Foundation, September 2015  August 2020. Total award $35,000.

Senior Personnel (Faculty Associate) on National Science Fundation conference grant (DMS 1600473) for TexasOklahoma Representations and Automorphic forms (TORA) VIII conference, February 2016  January 2019. Total award $13,000.

Ad Astra Research Scholarship, University College Dublin,
20062010.