Mathematics

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Research and Creative Activities

• Teaching and learning of mathematics and statistics

 

Professional Memberships:

• American Statistical Association
• Mathematical Association of America
• National Council of Teachers of Mathematics
• North Carolina Council of Teachers of Mathematics

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Responsibilities

• Undergraduate Research and Creative Works Departmental Liaison

 

Research and Creative Activities

• Approximation Theory
• Vector Field Approximation
• Approximation on Surfaces
• Radial Basis Functions
• Scientific Computing
• Recreational Mathematics

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Research and Creative Activities

• Number theory
• Teaching and learning of mathematics

 

Selected Publications

• (with L. Long, R. Ramakrishna, H. Swisher, F.T. Tu) “Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions,” 1-111. To appear in Memoirs of the American Mathematical Society.

 

• (with A. Deines, L. Long, H. Swisher, F.T. Tu) “Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions,” Directions in Number Theory: Proceedings of the 2014 WIN3 (2016), 125–160.

 

• (with A. Deines, L. Long, H. Swisher, F.T. Tu) “Generalized Legendre curves and quaternionic multiplication,”Journal of Number Theory 161 (2016), 175-203.

 

• (with D. McCarthy) “Hypergeometric type identities in the p-adic setting and modular forms,” Proceedings of the American Mathematical Society 144 (2016), 1493-1508.

 

• (with A. Graham-Squire, R. Lamb, K. O’Hara, L. Zack) “Flipping Freshman Mathematics,” PRIMUS 25: 9-10 (2015), 803-813.

 

• (with M.J. Bertin, A. Feaver, M. Lalin, M. Manes) “Mahler measure of some singular K3-surfaces,”Contemporary Mathematics 606 (2013), 149-169.

 

• “Traces of Hecke operators in level 1 and Gaussian hypergeometric functions,” Proceedings of the American Mathematical Society 141 (2013), 1871-1881.

 

• “Hypergeometric functions over Fp and relations to elliptic curves and modular forms,” Proceedings of the American Mathematical Society 138 (2010), 109-123.

 

Professional Memberships:

• American Mathematical Society
• Mathematical Association of America
• AWM

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• • Coordinator for Departmental Peer Observation, Math Lab tutoring, Math placement
  • Liaison to Teacher Education Council
  • Member of Departmental Awards Committee

 

Research and Creative Activities

• • Voting Theory
  • Gerrymandering
  • Recreational Mathematics
  • Scholarship of Teaching and Learning

 

Publications

• • (with L. Carnell, K. O'Hara, and L.C. Piechnik) Environmental Impacts: how comparative prior knowledge affects students' Calculus experience, PRIMUS, 28(10) (2019), 920-935. DOI: 10.1080/10511970.2018.1472682
• • Explicit calculation of local formal Mellin transforms, Pacific Journal of Mathematics 283-1 (2016), 115--137. DOI: 10.2140/pjm.2016.283.115
• • (with L. Zack, J. Fuselier, R. Lamb, and K. O'Hara) Flipping Freshman Mathematics, PRIMUS, 25(9-10) (2015), 803--813. DOI: 10.1080/10511970.2015.1031302
• • (with E. Farnell and J. Stockton) Mat-Rix-Toe: Improving writing through a game-based linear algebra project, PRIMUS, 24(6) (2014), 491--512. DOI: 10.1080/10511970.2013.876476
• • Calculation of local formal Fourier transforms, Arkiv for Matematik, 51 (2013), 71--84 DOI: 10.1007/s11512-011-0156-2

 

Professional Memberships

• • Mathematics Association of America

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