Helen Corley Petit Scholar
Associate Professor of Mathematics
University of Illinois at Urbana-Champaign
- E-mail: kkirkpat (at) illinois (dot) edu
Jing Wang and
organizing the probability
I organized an MSRI semester in fall 2015:
PDE, dynamics, and
randomness in high dimensions
Applied Stochastic Processes, Fall 2016
Probability Theory, Spring 2015
Applied Stochastic Processes, Fall 2014
Resources for improving
skills and presenting skills.
Interests: statistical mechanics, nonlinear differential equations, and dynamical systems, using a variety of methods from probability, functional analysis, harmonic analysis, and number theory--with applications to physics and biology.
limits are fundamental to my research. Specifically, I'm interested in:
models of ferromagnets and superconductors: the Heisenberg
model, the XY model, coupled XY models, and connections with the
macroscopic equations for magnets and superconductors, especially
critical behavior. Here's a
not-very-technical description of some of my research goals.
- Bose-Einstein condensation and nonlinear Schrödinger equations (NLS). Various scaling limits, invariant measures for the NLS, probabilistic approaches to the NLS. Terry Tao's blog entry on this topic.
- Discrete NLS and other lattice systems with noise or long-range interactions to model condensates or polymers, and fractional nonlinear Schrodinger equation models of energy transport in biopolymers like DNA.
- Dilute gases, plasmas, and kinetic equations: Hard-sphere models of dilute gases, and the Boltzmann equation in the Boltzmann-Grad limit. Soft-sphere models of plasmas, and the Landau equation in the weak coupling limit.
- Computational probability: algorithms for quantum many-body
systems, Monte Carlo simulations of spin systems, and family genetic data analysis.
- Non-commutative probability: quantum groups as models of freely independent random
variables, especially in non-tracial von Neumann algebras.
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 UIUC's
Sonia Kovalevsky Math Days for girls.
Brannan, now at Texas A&M
now at U Conn
Leslie A. Ross
- Academic Positions:
- Assistant Professor of Mathematics, University of Illinois at
Urbana-Champaign, since 2011
- 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, 2007
- 2016-2017 Petit Scholar
- 2016 Tenney Peck Teaching Award
- UIUC 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, Kathleen 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. P 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
- Kirkpatrick, K. and Nawaz., T. Asymptotics of mean-field
- 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.
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,
- Past Teaching:
- Math 461
Probability Theory, Spring 2014
562 Probability Theory II, Fall 2013
561 Probability Theory I, Spring 2013
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.
- Stanford University Educational Program for Gifted Youth instructor, math, summer 2007.
- Stanford University instructor, Ordinary Differential Equations, summer 2006.
- Stanford University Mathematics Camp counselor, summers 2003 - 2006.
- Montana State University instructor, Language of Mathematics, 2001 - 2002.
- 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 speaker 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
- Workshop for Women in Analysis and PDE at IMA, May 28-31, 2015
- 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,
- "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
- UIUC Probability seminar, Sept. 2013
- UIUC 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
- UIUC 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
- UIUC Math 499 Introductory talk for the new math graduate students,
- ICERM Conference on Monte Carlo Methods in Physics and Biology,
- Duke University Workshop for Women in Probability, Oct. 2012
- UIUC undergraduate WIMSE (women in math, science, and engineering) dinner series
speaker, Oct. 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,
- 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
- IMA conference Mathematical and Physical Models of Nonlinear
Optics in Minneapolis, MN, Oct. 31 - Nov. 4, 2016
I organized the
Conference on New Developments in Probability at
Northwestern University, May 6-8, 2016
- Full 2013 CV: CV