# Research

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

**PhD Adviser:**
Dr. J.
Matthew Douglass

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

**PhD Adviser:**
Dr. J.
Matthew Douglass

- "
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)

- "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.

- Joint Mathematics Meetings. Atlanta, GA, January 2017.
- Association of Computing Machinery (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.