K. L. Kirkpatrick
Associate Professor of
Mathematics and Physics
Illinois
A note to prospective students:
I'm not teaching during the academic year 20202021, but you may click on any of the courses below.
Research Interests: quantum and statistical mechanics,
condensed matter, and machine learning.
Here's a general
description of some of my results and aims.
Specifically, I'm interested in:
 Working with a student who is fluent in quantum mechanics and German and/or French.
 Quantum groups as models of freely independent random
variables, especially in nontracial von Neumann algebras.
 Quantum statistical mechanics models:
BoseEinstein condensation and nonlinear Schrödinger
equations (NLS), discrete NLS and other lattice systems with noise or longrange interactions, and fractional NLS models of energy transport in biopolymers like DNA. Terry
Tao's blog entry about some of my BEC work.
 Classical statistical mechanics: softsphere models of plasmas, and the Landau equation in the weak coupling limit.
 Computational probability, algorithms, and family genetic data
analysis.
 Spin
models of ferromagnets and superconductors: Heisenberg
model, XY model,
coupled XY models, Toy Higgs model, other O(N) models, and connections with
macroscopic equations for magnets and superconductors, especially
critical behavior.
 What's new: Foundations of
computer science, cognitive science, and artificial intelligence.
 Recent paper: Limiting Behaviors of High Dimensional
Stochastic Spin Ensemble, with Gao, Marzuola, Mattingly, and Newhall: arxiv.org/abs/1806.05282
 Recent paper: Transport of a quantum particle in a timedependent whitenoise potential, with Hislop, Olla, and Schenker: arxiv.org/abs/1807.08317
 Here are links to my paper, The
Turing Test Relies on a Mistake about the Brain, my
2018 Beckman talk slides, BIOLOGIC:
Biological Computation, and IMCT talk slides, BoseEinstein
Condensation and Biological Machines.
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.
Teaching
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
People:
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
UrbanaChampaign, 20112016
 Visiting Professor, Université de Paris IX Dauphine, June 2012
 Courant Instructor/PIRE Fellow, NYU, 20092011
 NSF Postdoctoral Fellow, MIT, 20072009
 Education:
 Ph.D. in Mathematics, U.C. Berkeley
 Honors:
 20202021 LAS Study in a Second Discipline Fellowship
(Neuroscience)
 20172018 Simons Fellow in Mathematics
 20162018 Blackwell Scholar in Mathematics
 20162017 H.C. Petit Scholar
 2016 Tenney Peck Teaching Award
 Urbana campus List of Teachers Ranked as Excellent, Springs 2014 and 2015
 NSF CAREER Award DMS1254791, May 2013  April 2018 (est.)
 NSF REU supplement DMS1242731, July 2012  July 2014 (est.)
 NSF grant DMS1106770,
Aug. 2011  July 2014 (est.)
 Courant/NSF PIRE Fellowship at Université de Paris IX, NSF OISE0730136, 2010  2011
 NSF Mathematical Sciences Postdoctoral Fellowship, 20072009
 AAUW American Dissertation Fellowship, 20062007
 NSF Graduate Research Fellowship
 Phi Kappa Phi, K. Greey Graduate Fellowship
 Schafer Prize
 Goldwater Scholarship
 Articles:
 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
manybody quantum dynamics. Comm. Math. Phys., 321:2, 2013, 371417.
 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
meanfield XY and related models. To appear in Birkhauser
Proceedings of the Conference in honor of Rodrigo Bañuelos.
 Kirkpatrick, K. and Nawaz., T. Asymptotics of meanfield
O(N) models. To appear in J. Stat. Phys.
 Kirkpatrick, K. and Meckes, E. Asymptotics of the meanfield
Heisenberg model. J. Stat. Phys., 152:1, 2013, 5492.
 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. 727757.
 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, 97102.
 Kirkpatrick, K. and Zhang, Y.
Fractional
Schrodinger dynamics and decoherence.
 Kirkpatrick, B. and Kirkpatrick, K. Optimal StateSpace Reduction for Pedigree Hidden Markov Models.
 Kirkpatrick, K., Lenzmann, E., and Staffilani, G. On the continuum limit for discrete
NLS with longrange lattice interactions. Comm. Math. Phys.,
317:3, 2013, 563591.
 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.) CRSCTR0024, October 2000.
 Also:
 Blecher, D., Kirkpatrick, K., Neal, M., and Werner, W. Ordered involutive operator spaces. Positivity, vol. 11, 2007, 497509.
 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.

 Past Teaching:

 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 (V63.01228), fall 2009.
Resources for improving
writing
skills and presenting skills.
 Talks:
 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 MiniSymposium 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 UrbanaChampaign, 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 minisymposium
"Quantum ManyBody Dynamics: Analysis, Modeling
And Computation" in Philadelphia, PA, August 811, 2016
 Plenary talk at the first Great Lakes Mathematical Physics Meeting, June 1719, 2016
 Plenary talk at Frontier Probability Days, May 911, 2016
 Colloquium at Bradley University, Feb. 11, 2016
 Plenary talk at the Texas Analysis and Mathematical Physics
Symposium (TexAMP 2015), Nov. 68, 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 2022, 2015
 Colloquium at UWMadison, 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 nonlocal and nonlinear analysis: theory
and applications," at ETH Zurich, June 2014.
 KiNet 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 MultiAgent 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 Schaferprize 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 AnalyseProbabilités,
Sept. 28, 2010
 CIME Summer School on Quantum ManyBody 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 68, 2016.
I organized the 39th Midwest Probability Colloquium at
Northwestern, Oct 1416, 2017.
I'm organizing the 2nd Conference on New Developments in Probability,
postponed to May 2021.
Spring 2020: Brief
CV