Dr. Angela Berardinelli

Assistant Professor - Department of Mathematics and Information Technology

Mercyhurst University

Research

Pure Math Research Interests: complex reflection groups, invariant theory, representation theory, geometry, combinatorics

PhD Adviser: Dr. J. Matthew Douglass

Other Research Interests: IT education, CS education, service learning in computing disciplines, computing education in liberal arts colleges

Publications

  • " Systematic Celestial 4-Configurations" with Leah Berman. Ars Mathematica Contemporanea vol. 7, no. 2 (2014). (This publication is based on research I conducted as an undergraduate at Ursinus College with my adviser Leah Berman.)
  • "Restricting invariants of complex reflection groups" with N Amend, JM Douglass, and G Röhrle. (accepted November 2016 for publication in Transactions of the American Mathematical Society)

Talks Given

  • "A crash course in reflection groups." Contributed faculty talk, Mathematical Association of America - Allegheny Mountain Section Meeting, April 2016.
  • "Restricting invariants and arrangements of finite complex reflection groups." PhD defense, University of North Texas, April 2015.
  • "Invariants and Arrangements of Finite Complex Reflection Groups." Contributed paper, Joint Mathematics Meetings in San Antonio, January 2015.
  • "Irreducible representations of finite reflection groups." Algebra seminar, University of North Texas, October 2014.
  • "On the ramification of height one prime ideals in polynomial rings over rings of invariants." Algebra seminar, University of North Texas, March 28, 2014.
  • "Introduction to linear algebraic groups." Student algebra seminar, University of North Texas. Part 1: February 26, 2014. Part 2: March 5, 2014.
  • "Hyperplane arrangements and invariants of finite complex reflection groups." Graduate Student Algebra Symposium, University of North Texas, November 2013.
  • "Hyperplane arrangements and invariants of complex reflection groups." Texas and Oklahoma Representation Theory and Automorphic Forms Conference, Oklahoma State University, September 2013.
  • "Hyperplane arrangements and invariants of reflection groups of type G(r,1,n)." Lie Theory seminar talk, Ruhr-Universitaet Bochum (Germany), June 2013.
  • "Relationships between hyperplane arrangements and invariants of complex reflection groups." Algebra seminar, University of North Texas, April 2013.
  • "Hyperplane Arrangements of Root Systems of Type Bn." Invited talk, Ursinus College, June 2012.
  • "The Orlik-Solomon Algebra of the Type B2 Arrangement." Master's project presentation, University of North Texas, May 2012.

Conferences Attended

  • Association of Computing Machinery (ACM) Special Interest Group in Computer Science Education (SIGCSE) Annual Conference. Seattle, WA, March 2017.
  • Joint Mathematics Meetings. Atlanta, GA, January 2017.
  • ACM Special Interest Group in Information Technology Education (SIGITE) Annual Conference. Boston, MA, September 2016.
  • Mathematical Association of America (MAA) Allegheny Mountain Section Meeting. Gannon University, April 2016.
  • American Mathematical Society (AMS) Central Sectional Meeting #1112. Loyola University Chicago, October 2015.
  • Joint Mathematics Meetings. San Antonio, TX, January 2015.
  • AMS Central Sectional Meeting #1100. Texas Tech University, April 2014.
  • Texas and Oklahoma Representation Theory and Automorphic Forms (TORA) conference series VI. University of Oklahoma, March 2014.
  • TORA V. Oklahoma State University, September 2013.
  • AMS Western Sectional Meeting #1089. University of Colorado Boulder, April 2013.
  • TORA IV. University of North Texas, March 2013.
  • TORA III. University of Oklahoma, September 2012.
  • CombinaTexas 2012. Southwestern University, April 2012.
  • TORA II. Oklahoma State University, April 2012.