K. L. Kirkpatrick

light trail of the tip of the second part of a double pendulum, with
the path looking chaotic and somewhat uniformly spread out over an annulus

Associate Professor of Mathematics and Physics


My American Mathematical Society invited address slides and my AMS Notices article Dark matter may be a Bose-Einstein condensate of axions.

Math 564 in Fall 2021 has a public webpage here, and there is more content in Canvas.
It will be similar to the Fall 2016 version, linked here.

Research Interests: quantum and statistical mechanics, condensed and dark matter, and foundations of neuroscience and computer science.

Here's a description of my dark matter interests for a broad audience. I'm also interested in:

Other Interests

I've mentored Illinois Geometry Lab projects on percolation theory with Michelle Delcourt and Thomas Mahoney, and a project on phase transitions in XY models with Tayyab Nawaz.

My NSF CAREER Award has been providing partial support for Urbana's Kovalevsky Days.

Blog: How to Grad School While Poor.


Shubhang Goswami
Daniel Inafuku
Kesav Krishnan
Michael Brannan, now at Texas A&M
Tayyab Nawaz, now at Illinois NetMath
Leslie A. Ross
Jing Wang, now at Purdue

Brief Vita

Academic Positions:
Visiting Associate Professor, MIT, Fall 2017
Associate Professor of Physics, Illinois, since 2017
Associate Professor of Mathematics, Illinois, since 2016
Assistant Professor of Mathematics, University of Illinois at Urbana-Champaign, 2011-2016
Visiting Professor, Université de Paris IX Dauphine, June 2012
Courant Instructor/PIRE Fellow, NYU, 2009-2011
NSF Postdoctoral Fellow, MIT, 2007-2009
Ph.D. in Mathematics, U.C. Berkeley
2020-2021 LAS Study in a Second Discipline Fellowship (Neuroscience)
2017-2018 Simons Fellow in Mathematics
2016-2018 Blackwell Scholar in Mathematics
2016-2017 H.C. Petit Scholar
2016 Tenney Peck Teaching Award
Urbana campus List of Teachers Ranked as Excellent, Springs 2014 and 2015
NSF CAREER Award DMS-1254791, May 2013 - April 2018 (est.)
NSF REU supplement DMS-1242731, July 2012 - July 2014 (est.)
NSF grant DMS-1106770, Aug. 2011 - July 2014 (est.)
Courant/NSF PIRE Fellowship at Université de Paris IX, NSF OISE-0730136, 2010 - 2011
NSF Mathematical Sciences Postdoctoral Fellowship, 2007-2009
AAUW American Dissertation Fellowship, 2006-2007
NSF Graduate Research Fellowship
Phi Kappa Phi, K. Greey Graduate Fellowship
Schafer Prize
Goldwater Scholarship
Nonlinear Schrodinger equation and quantum statistical mechanics:
Brannan, M. and Kirkpatrick, K. Quantum groups and generalized circular elements. PJM Vol. 282 (2016), No. 1, 35–61
Ben Arous, G., Kirkpatrick, K., and Schlein, B. A Central Limit Theorem in many-body quantum dynamics. Comm. Math. Phys., 321:2, 2013, 371-417.
Kirkpatrick, K., Schlein, B., and Staffilani, G. Derivation of the two dimensional nonlinear Schrodinger equation from many body quantum dynamics. American Journal of Mathematics, 2009.
Gibbs measures, phase transitions, and classical statistical mechanics:
Kirkpatrick, K. and Nawaz., T. Critical behavior of mean-field XY and related models. To appear in Birkhauser Proceedings of the Conference in honor of Rodrigo Bañuelos.
Kirkpatrick, K. and Nawaz., T. Asymptotics of mean-field O(N) models. To appear in J. Stat. Phys.
Kirkpatrick, K. and Meckes, E. Asymptotics of the mean-field Heisenberg model. J. Stat. Phys., 152:1, 2013, 54-92.
Kirkpatrick, K. Solitons and Gibbs measures for nonlinear Schrodinger equations, invited article for a special issue of MMNP.
Chatterjee, S. and Kirkpatrick, K. Probabilistic methods for discrete nonlinear Schrodinger equations. Comm. in Pure and Appl. Math., 65:5, 2012, pp. 727-757.
Kirkpatrick, K. Rigorous derivation of the Landau equation in the weak coupling limit (updated April, 2009) Communications in Pure and Applied Analysis, 2009.
Applications to computational biology:
Sun, D., Wang, Z., and Yu, S. Kinship accuracy: Comparing algorithms for large pedigrees. Stanford Undergraduate Research Journal, Vol. 13, 2014, 97-102.
Kirkpatrick, K. and Zhang, Y. Fractional Schrodinger dynamics and decoherence.
Kirkpatrick, B. and Kirkpatrick, K. Optimal State-Space Reduction for Pedigree Hidden Markov Models.
Kirkpatrick, K., Lenzmann, E., and Staffilani, G. On the continuum limit for discrete NLS with long-range lattice interactions. Comm. Math. Phys., 317:3, 2013, 563-591.
Bortz, D.; Guy, B.; Hood, J.; Kirkpatrick, K.; Nguyen, V.; and Shimanovich, V. Modeling HIV infection dynamics using delay differential equations. CRSC Technical Report (Pierre A. Gremaud, Zhilin Li, Ralph C. Smith, and Hien T. Tran, eds.) CRSC-TR00-24, October 2000.
Blecher, D., Kirkpatrick, K., Neal, M., and Werner, W. Ordered involutive operator spaces. Positivity, vol. 11, 2007, 497-509.
Teppo, A. R., Esty, W. W., and Kirkpatrick, K. The Assessment of Mathematical Logic: Abstract Patterns and Familiar Contexts. Psychology in Mathematics Education, Proceedings, 2003.

Resources for all students from Saundra Yancy McGuire and Stephanie McGuire's book Teach Students How to Learn: Appendices A and B

Math 442 Partial Differential Equations, Spring 2020
Math 595 Advanced Machine Learning, Spring 2020
Math 490 Mathematics of Machine Learning, Fall 2019
Math 461 Probability, Spring 2019
Math 490 Mathematics of Machine Learning, Fall 2018
Math 595 Special Topics: Interacting Particle Systems, Spring 2017
Math 461 Probability Theory, Spring 2017
Math 564 Applied Stochastic Processes, Fall 2016
Math 461 Probability Theory, Spring 2014
Math 562 Probability Theory II, Fall 2013
Math 561 Probability Theory I, Spring 2013
Math 461 Probability & Mathematica, Fall 2012
Math 461 Probability Theory, Spring 2012
Math 286 Differential Equations Plus Linear Algebra, Fall 2011
Courant instructor, Analysis I (V63.0325), spring 2010.
Courant instructor, Calculus II (V63.0122-8), fall 2009.

Resources for improving writing skills and presenting skills.

Banff Conference on Advances in Dispersive Equations, July 2019
Keynote at the Seminar on Stochastic Processes (SSP), Utah, Mar 2019
Birthday conference for Thomas Liggett, Interacting Particle Systems and Statistical Mechanics, IPAM, Mar 2019
AWM Mini-Symposium talk on Math Communication, Feb 2019
Institute for Condensed Matter Theory seminar at University Illinois, Dec 2018
SIAM Conference on Nonlinear Waves and Coherent Structures, Anaheim, June 2018
AMS Annual Colloquium at University of Nebraska, Lincoln, Apr 2018
Logic seminar at University of Illinois at Urbana-Champaign, Jan 2018
Random matrices seminar at Harvard, Nov 2017
Physics of Living Systems seminar at MIT, Nov 2017
PDE and Probability seminars at MIT, Nov 2017
Analysis seminar at McGill, Oct 2017
Colloquium and Math Physics Seminar at Purdue, 2017
SIAM Conference on Nonlinear Waves and Coherent Structures mini-symposium "Quantum Many-Body Dynamics: Analysis, Modeling And Computation" in Philadelphia, PA, August 8-11, 2016
Plenary talk at the first Great Lakes Mathematical Physics Meeting, June 17-19, 2016
Plenary talk at Frontier Probability Days, May 9-11, 2016
Colloquium at Bradley University, Feb. 11, 2016
Plenary talk at the Texas Analysis and Mathematical Physics Symposium (TexAMP 2015), Nov. 6-8, 2015
Colloquium at UC Berkeley, Sept. 10, 2015, blogged about here.
Conference in Stochastic Analysis and Related Topics in honor of Rodrigo Banuelos at Purdue, May 20-22, 2015
Colloquium at UW-Madison, April 17, 2015
Colloquium at Southern Illinois University, April 2, 2015, videorecorded and available on youtube here.
Plenary talk at the 5th Ohio River Analysis Meeting, University of Cincinnati, February 28 - March 1, 2015
36th Midwest Probability Colloquium at Northwestern, October 2014
Keynote for Illini Math PhD reunion, Sept. 2014
BIRS Workshop "Spin Glasses and Related Topics," at Banff, July 2014
"Recent advances in non-local and non-linear analysis: theory and applications," at ETH Zurich, June 2014.
Ki-Net workshop "Mathematical and Numerical Methods for Complex Quantum Systems" at UIC, March 2014
University of Minnesota Probability seminar, Oct. 2013
Illinois Probability seminar, Sept. 2013
Illinois IMSE (Initiative for Mathematical Sciences and Engineering) Summer School on Multi-Agent Networked Systems talk, Aug. 2013
71st Midwest PDE seminar, May 2013
IMSE brown bag lunch seminar, Apr. 2013
University of Colorado at Boulder Probability seminar, Apr. 2013
Purdue University Probability seminar, Apr. 2013
Illinois Computational Science and Engineering seminar, Mar. 2013
SIDIM conference in San Juan, Puerto Rico, Mar. 2013
University of Puerto Rico at Mayaguez, PDE lecture, Mar. 2013
Stanford Analysis/PDE seminar, Jan. 2013
Illinois Math 499 Introductory talk for the new math graduate students, Nov. 2012
ICERM Conference on Monte Carlo Methods in Physics and Biology, Nov. 2012
IMSE (Initiative for Mathematical Sciences and Engineering) Kickoff Symposium: Critical Challenges at the Interface of Mathematics and Engineering, Sept. 2012
Banff workshop, Evolution equations of physics, fluids, and geometry, Sept. 2012
UCSD probability seminar, Mar. 2012
UNC Chapel Hill applied math seminar, Feb. 2012
SAMSI Uncertainty Quantification: Simulation of Rare Events workshop, Feb. 2012
UIUC Aerospace Engineering workshop on Random Dynamical Systems, Nov. 2011
University of Bonn PDE seminar, July 14, 2011
University of Edinburgh analysis seminar, May 9, 2011
AWM special Schafer-prize session, Jan. 6, 2011
University of Milan Solitary and Dispersive Days, Dec. 13, 2010
University of Cambridge analysis seminar, Nov. 22, 2010
Oberwolfach workshop on interacting particle systems, Nov. 8, 2010
Budapest Technical University probability seminar, Oct. 21, 2010
Université Paris IX, Séminaire du CEREMADE Analyse-Probabilités, Sept. 28, 2010
CIME Summer School on Quantum Many-Body Systems, Sept. 2, 2010

I organized the MSRI semester PDE, dynamics, and randomness in high dimensions in Fall 2015.
I organized the Conference on New Developments in Probability at Northwestern University, May 6-8, 2016.
I organized the 39th Midwest Probability Colloquium at Northwestern, Oct 14-16, 2017.
I organized the 2nd Conference on New Developments in Probability, May 2021.
Spring 2020: Brief CV