Photos by the Institute for Advanced Study, Princeton NJ and Sydney Janda.
I am a
Professor of Mathematics
University of Kentucky.
Here is my Princeton website.
I am a member of the Discrete Mathematics group in the Department of Mathematics at the University of Kentucky.
I have been awarded a new five year Simons Foundation Collaboration grant effective July 2016.
My previous five year Simons Foundation Collaboration grant began July 2011. Six collaborators and nine graduate students received funding via this grant. My graduate student Yue Cai also received funding for a research visit to Princeton in Fall 2014.
During the academic year 2014--2015 I was a Visiting Professor and Research Scholar in the Princeton University Mathematics Department.
During the academic year 2010-2011, I was a Member in the School of Mathematics at the Institute for Advanced Study in Princeton.
During the academic year 2006-2007, I was on sabbatical leave at MIT.
My research interests are in algebraic combinatorics, namely the interaction of combinatorics with algebra, topology, discrete geometry and number theory.
Recent preprints and papers
Interview by Robert Jajcay of Comenius University during EUROCOMB 2019 in Bratislava Slovakia.
On the cover of the March 2018 Notices of the AMS . Christine Taylor and I were guest editors for this special issue for Women's History Month.
U Kentucky public relations interview about the IAS Women and Mathematics program winning the AMS 2019 Award for Mathematics Programs that Make a Difference. Here is the award announcement in the May 2019 Notices of the AMS.
Visitor, Institute for Advanced Study, Princeton New Jersey (June & July 2019)
Plenary speaker at the 2019 EUROCOMB, Bratislava, SLOVAKIA (August 2019)
Plenary speaker, Triangle Lectures in Combinatorics, NC State University Talk slides. (November 2019)
Visit to Princeton University Mathematics Department (January 2020)
Visit to Institute for Advanced Study (March 2020)
Visit to Cambridge University (April 2020)
Mathematics of Machine Learning at the 2020 WAM Program, Institute for Advanced Study and Princeton University (May 2020)
Visitor, Institute for Advanced Study, Princeton New Jersey (June & July 2018)
Visit to Princeton University Mathematics Department and talk in the Discrete Math seminar. (September 2018)
Invited speaker at the AWM Research Symposium 2019 at Rice University (April 2019)
Topics in Geometric Analysis at the 2019 WAM Program, Institute for Advanced Study and Princeton University (May 2019)
Visit to the Institute for Advanced Study in Princeton (September 2017)
Visit to the Institute for Advanced Study in Princeton (March 2018)
Visit to École Normale Supérieure de Lyon (ENS de Lyon) at the Université de Lyon (March 2018)
Mathematics of Modern Cryptography Workshop at the 2018 WAM Program, Institute for Advanced Study and Princeton University (May 2018)
Plenary speaker for the 28th International FPSAC 2016, Vancouver Canada. (July 2016)
Attending the Clay Mathematics Institute workshop "Recent Developments on Elliptic Curves" at the University of Oxford. (September 2016)
Attending the Brown University ICERM workshop "Topology and Geometry in a Discrete Setting". (November 2016)
Talk in the AMS special session Algebraic and Enumerative Combinatorics with Applications as part of the 2017 Spring Central Sectional Meeting being held in Bloomington, IN at Indiana University. Saul Blanco (Indiana U) and Kyle Petersen (DePaul U) are organizing this session. (April 2017)
Research team leader for the 2017 BIRS Workshop Algebraic Combinatorixx 2. (May 2017)
Talk at the 2017 Midwest Combinatorics Conference being held at the University of Minnesota. Talk slides. (May 2017)
Invited one-hour speaker for the Discrete Math Day in the Northeast at Worcester Polytechnic Institute. Talk slides. (September 2015)
Talk in the AMS special session Geometry and Combinatorics of Polytopes as part of the 2015 Fall Eastern Sectional Meeting being held at Rutgers University. Egon Schulte (Northeastern) and Asia Weiss (York U) are organizing this session. (November 2015)
Plenary speaker (three one-hour talks) for the Lake Michigan Workshop on Combinatorics and Graph Theory, Purdue University. Edinah Gnang and Mark Daniel Ward are organizing this two day workshop. Talk slides: I. Quantum Combinatorics , II. Coalgebraic Combinatorics , and III. Whitney Stratifications and Combinatorics . (March 2016)
Visiting the U Maine Number Theory group and talk in the University of Maine Number Theory Seminar. (March 2016)
Invited one-hour speaker for the 28th Midwest Conference on Combinatorics, Cryptography and Computing (MCCCC), University of Nevada, Las Vegas. Talk slides. (October 2014)
Invited speaker for The Mathematics of Michelle Wachs Conference, University of Miami. Talk slides. (January 2015)
Talk in the Rutgers Experimental Math Seminar. Also, the Vimeo video. (March 2015)
Talk in the Rutgers Discrete Math Seminar. (March 2015)
Talk in the Binghamton University Combinatorics Seminar (joint with Geometry/Topology seminar) and visiting Thomas Zaslavsky . (October 2013).
Invited speaker for Saganfest 2014, Bijective and Algebraic Combinatorics: In honor of Bruce Sagan's 60th birthday, University of Florida. Talk slides. (March 2014)
Invited lecturer for the MIT D.W. Weeks Lecture Series. (November 2012)
Talk at University of Minnesota. (January 2013)
Talk in the AMS special session Algebraic Combinatorics as part of the 2013 Spring Southeastern Sectional Meeting being held in Oxford, MS at the University of Mississippi. Patricia Hersh (NC State) and Dennis Stanton (U Minnesota) are organizing this session. (March 2013)
Colloquium talk at the University of North Carolina at Charlotte and visiting Gabor Hetyei. (April 2013)
Invited Lecturer (4 lectures) for the 2013 Women and Mathematics Program sponsored by the Institute for Advanced Study and Princeton University. (May 2013) Poster (pdf) and Lecture Notes (pdf) and photos.
Talk at the 11th Nordic Combinatorial Conference (NORCOM2013) in Stockholm, Sweden. (June 2013)
The paper, "Euler flag enumeration of Whitney stratified spaces" by Richard Ehrenborg, Mark Goresky and Margaret Readdy, was presented by Richard Ehrenborg at the FPSAC'13 in Paris, France. The famous slides can be found here. (June 2013)
Rafael González D'león spent a three year postdoc at the University of Kentucky. He is interested in algebraic and topological combinatorics. He received his PhD in 2014 under the supervision of Michelle Wachs at the University of Miami. Rafael is currently a postdoctoral visitor at York University and a docente investigador at Universidad Sergio Arboleda in Bogotá Columbia.
Ben Reese is currently working with me as a Masters student.
Yue was awarded a 2013--2014 Max Steckler Fellowship from the Graduate School as well as a Summer 2012 Research Fellowship from the University of Kentucky Department of Mathematics. She was my course assistant for the 2013 WAM program sponsored by the Institute for Advanced Study and Princeton University.
Dr. Tricia Muldoon Brown
Tricia Muldoon Brown, PhD 2009, "Rees Products of Posets and Inequalities" (pdf).
Associate Professor, Georgia Southern University.
Tricia is co-organizing the Algebraic Combinatorixx 2 conference at BIRS.
Peter S. Park
Princeton undergraduates Likith Govindaiah (Class of 2017) and Peter Park (Class of 2017) worked with me. Likith is a now a trader for Jane Street working in Manhattan. Peter is a PhD student in the Harvard Mathematics Department working with Nobel Prize winner Eric Maskin.
Directed the Senior Thesis of Princeton University undergraduate Albert Zhou (Class of 2015). Albert is now an Assistant Trader at Susquehanna International Group.
I have been a Faculty Advisor for two REU's at Cornell, one in 1997 and the other in the summer of 2000. Here you can see an article about the Summer 1997 REU.
Here is a list of my REU students.
My student Michael Levin, a 2001 graduate from Harvard, won Honorable Mention for the 2001 Morgan Prize.
Since 2017 I am the Academic Program Manager for the Women and Mathematics (WAM) Program sponsored by the Institute for Advanced Study and Princeton University. This year's program is on Mathematics of Machine Learning. (May 2020).
Previous WAM programs:
Topics in Geometric Analysis. (May 2019)
Mathematics of Modern Cryptography. (May 2018)
Richard Ehrenborg and I are holding the 2019 Julia Robinson Math Festival at the Central Public Library in Lexington (November 2019). We ran the first and second Julia Robinson Mathematics Festival at the University of Kentucky. (November 2017 & 2018).
Research team leader and mentor for the all-female 2017 BIRS Workshop Algebraic Combinatorixx 2. (May 2017)
I will be giving a series of three one-hour lectures to graduate students at the Lake Michigan Workshop on Combinatorics and Graph Theory, Purdue University. (March 2016)
Invited Lecturer (4 lectures) for the 2013 Women and Mathematics Program sponsored by the Institute for Advanced Study and Princeton University. (May 2013) Poster (pdf) and Lecture Notes (pdf) .
I am a founding member and organizer of Math Movie of the Month.
I gave a half-day of presentations on "Math Magic" as part of the Littlebrook Elementary School Science Expo in Princeton NJ. (May 2015)
In October 2015 I will be giving interactive "Math Magic" presentations at Cassidy Elementary School in Lexington KY.
I am a Professor Assistant/Consultant for the new Henry Clay High School Math Club.
I am the faculty mentor for first year graduate student Kalila Sawyer as part of the NSF Funded Graduate Scholars in Mathematics DUE-1356253.
I am organizing the Discrete CATS Seminar in 2017--2018 and Fall 2018.
In Spring 2015 I co-organized the Princeton University Combinatorics Seminar with Richard Ehrenborg.
From 2000 to 2014 I organized the Discrete CATS Seminar and co-organized the WILDCATS Seminar.
Here is a recent picture of my sons Thomas and Theodore, ages 6 and 10. And ages 8 and 12. And ages 10 and 14. And ages 12 and 16. And ages 14 - ε and 18 + ε.
Inauguration Day 2009
Letter of recommendation FAQ. Please read before asking me to write you a letter of recommendation.
phone +1 (859) 257-4680