Sheldon Joyner, PhD

Assistant Professor, Mathematics & Computer Science

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Education

  • PhD, Purdue University
  • MSc, Stellenbosch University
  • Hons BSc, Stellenbosch University

Research Interests

  • Zeta and L-functions
  • Iterated integrals, Polylogarithm functions
  • Knizhnik-Zamolodchikov equations
  • Grothendieck-Teichmuller theory

Employment History

  • Visiting Assistant Professor of Mathematics, Suffolk University, 2013 to present
  • Postdoctoral Lecturer, Brandeis University, 2011 to 2013
  • Postdoctoral Fellow and Assistant Professor, The University of Western Ontario, 2008 to 2011

Publications

  • On a generalization of Chen's iterated integrals, J. Number Theory, 130 no.2, (2010), 254-288.
  • Pullback of parabolic bundles and covers of ${\mathbb P}^1\setminus\{0,1,\infty\}$, (with Ajneet Dhillon), Mich. Math. J., 61 no. 1 (2012), 199-224.
  • An algebraic version of the Knizhnik-Zamolodchikov equation}, Ramanujan J., 28 no. 3 (2012), 361-384.
  • On an extension of the universal monodromy representation for P^1 \ {0,1,\infty}, Communications in Number Theory and Physics, 8 no. 3, (2014), 369 - 402.

Selected Lectures

  • Workshop on Grothendieck-Teichmuller theory and multiple zeta values, Isaac Newton Institute, Cambridge University, 2013
  • Mathematics seminar, The University of Arizona, 2012
  • Workshop on multiple zeta values, modularity and elliptic motives, Heilbronn Institute, University of Bristol, 2011
  • Polylogarithm seminar, Institut de mathematiques de Jussieu, 2009
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Courses Taught

  • Abstract Algebra
  • Introduction to Abstract Mathematics
  • Calculus I
  • Calculus for Management and Social Sciences
  • Independent studies: Complex Analysis, Introduction to p-adic Analysis