Anne V. Shepler  
A mathematician is a blind man in a dark room searching for a black cat which isn't there.  Charles R. Darwin He didn't live long enough to see my mathematical vindication.  H.S.M. Coxeter on E.C. Escher

Professor of Mathematics, University of North Texas Office: General Academic Building 471B Mailing Address:
University
of North Texas
Department
of Mathematics
1155 Union Circle
#311430
Denton, TX,
762035017
Phone: (001) 9405652155 
Why does the mirror reflect you leftright, and not updown?
UPCOMING CONFERENCES:
Southwest Local Algebra Meeting SLAM
2023, at University of North Texas in Denton, March 45, 2023.
International Centre for Mathematical Sciences ICMS, Workshop on "Various Guises of Reflection Arrangements", March 1317, 2023, Edinburgh, Scotland.
BEFORE YOU EMAIL ME:
UNT students: put the course name and main idea on the subject line! 
UNT students: is the answer to your question in the syllabus? 
I don't respond to emails about private tutoring (non UNT students), web development, or coding. 
UNT Graduate students: nagging is allowed, sometimes encouraged. 
Letters of recommendation: best ask 26 weeks before due date, more time is required if over a break. 
I don't respond to emails asking about
research/lab positions; these go to PhD students in math at UNT. Postdoc positions are another story. 
Mathematics often has more in common with arts and music than other scientific fields: We imagine what could be, possible universes that could exist. Indeed, many people choose theoretical mathematics because it requires more imagination than any other field they have encountered. Saying mathematics is about numbers is like saying literature is about letters. Truly creative work takes flight after learning to use the grammar of mathematics: work with relationships and functions and theorems in a precise way. Undergrads: see Mark Tomforde's page for students and math majors in particular.
PUBLICATIONS: preprints and research papers. 
ALGEBRA
SEMINAR: includes ring theory, homological algebra, noncommutative algebra, number theory, representation theory, and combinatorics. 
WIMS
The Women in Mathematical Sciences group at UNT hosts special
talks and gatherings. 
MATHEMATICAL RESEARCH I work in pure mathematics at intersections of algebra, combinatorics, geometry, and representation theory. Interests include noncommutative algebra, reflection groups, invariant theory, homological algebra, deformation theory, Hochschild cohomology, hyperplane arrangements, and codes in computer science build on isometry groups.
Physicists often regard space as a CalabiYau manifold endowed with symmetry. We model the local setting with a finite group G acting linearly on a finite dimensional vector space V. We mod out by symmetry to obtain the orbifold V/G which may have singularities. Geometrically, we might replace V/G with a smooth variety, but Hochschild cohomology recommends an algebraic approach: replace the ring of invariant polynomials S^G with the natural semidirect product algebra S#G. Hochschild cohomology governs the deformation theory and predicts various algebras important in representation theory, combinatorics, and the geometry of orbifolds.Simons Foundation:
Collaboration Grant for Mathematicians, Award Number 949953 (sole PI), 20222027
Collaboration Grant for Mathematicians, Award Number 429539 (sole PI), 20162022
National Science Foundation :
Standard Research Grant (DMS1101177), Principal Investigator (sole PI), 20112014
Standard Research Grant (DMS0800951), Principal Investigator (sole PI), 20082011
Standard Research Grant (DMS 0402819), Principal Investigator (sole PI), 20042008
PostDoctoral Research Fellowship (Award 9971099), Principal Investigator (sole PI), 19992002
SLAM Conference Grant (DMS2302498), CoPrincipal Investigator, 2023
TORA Conference Grant (DMS1600642), CoPrincipal Investigator, 20162019
TORA Conference Grant (DMS1302770), CoPrincipal Investigator, 20132014
TORA Conference Grant (DMS1132586), CoPrincipal Investigator, 20112012
National Security Agency : Research Grant, Principal Investigator (sole PI), 20022004
Alexander von Humboldt Foundation : Research Fellowship (at RWTH Aachen University), Principal Investigator (sole PI), 2009
Texas Coordinating Board : Advanced Research Program Grant, Principal Investigator (sole PI), 20082010
ALGEBRA
SYMPOSIA (by and for grad students): 
REUs
(undergrad research):

Images by Douglas Dunham (University of Minnesota at Duluth), and Charlie Gunn with The Geometry Center (Univ of Minnesota).
Coxeter says of Escher's print: "He got it absolutely right to the millimetre, absolutely to the millimetre. ... Unfortunately, he didn't live long enough to see my mathematical vindication."