Katy Craig Curriculum Vitae

Katy Craig Curriculum Vitae

Appointments

- Assistant Professor, UCSB, 2016-present
- UC President’s Postdoctoral Fellow, UCSB, 2015-2016
- NSF Postdoctoral Fellow, UCLA, 2014-2015
- Visiting Researcher, Fields Institute, University of Toronto, September 2014
- Visiting Researcher, UCLA, February-July 2013

Awards and Grants

- UC Regents' Junior Faculty Fellowship, 2019
- NSF DMS-1811012, Singular Limits of Gradient Flows: Analysis and Numerics, 2018-2021
- UC Faculty Research Grant, 2017
- UC Faculty Enrichment Award, 2016
- UC President’s Postdoctoral Fellowship, 2015
- NSF Postdoctoral Fellowship, 2014
- AMS Student Chapter Award for Research Excellence, Rutgers University, 2014
- Rutgers Presidential Fellowship, Rutgers University, 2010-2012

- J.A. Carrillo, K. Craig, L. Wang, and C. Wei, Primal dual methods for Wasserstein gradient flows, submitted. Videos
- J.A. Carrillo, K. Craig, and Y. Yao, Aggregation-diffusion equations: dynamics, asymptotics, and singular limits, to appear in Active Particles, Volume 2.
- K. Craig and I. Topaloglu, Aggregation-diffusion to constrained interaction: minimizers & gradient flows in the slow diffusion limit, submitted.
- J.A. Carrillo, K. Craig, and F.S. Patacchini, A blob method for diffusion, arxiv: 1709.09195 , Calculus of Variations and Partial Differential Equations 58 (2019), no. 2.
- K. Craig, I. Kim, and Y. Yao, Congested aggregation via Newtonian interaction, arXiv: 1603.03790, Archive for Rational Mechanics and Analysis (2018), no. 1, 1-67.
- K. Craig, Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions, arXiv:1512.07255, Proc. London Math. Soc., (2017), no. 114, 60–102.
- K. Craig and I. Topaloglu, Convergence of regularized nonlocal interaction energies, arXiv: 1503.04826, SIAM J. Math. Anal. 48 (2016), no. 1, 34-60.
- K. Craig and A. Bertozzi, A blob method for the aggregation equation, arXiv:1405.6424, Math. Comp. 85 (2016), no. 300, 1681-1717.
- K. Craig, The exponential formula for the Wasserstein metric (thesis)
- K. Craig, The exponential formula for the Wasserstein metric, arXiv:1310.2912, ESAIM COCV 48 (2016), no. 1, 169-187.
- E. Carlen and K. Craig, Contraction of the proximal map and generalized convexity of the Moreau-Yosida regularization in the 2-Wasserstein metric, arXiv: 1205.6565, Math. and Mech. of Complex Systems 1 (2013), no. 1, 33-65.

Presentations

Minimizers and gradient flows in the slow diffusion limit

- PDE/Applied Math Seminar, Drexel, 1/24/19
- Nonlinear Analysis Seminar, Rutgers, 1/22/19
- Canadian Mathematical Society Winter Meeting, Nonlocal Interaction Models, Vancouver, 12/9/18
- Ki-Net Young Researchers Workshop, 10/22/18, Slides
- Conference in Applied Mathematics, Duke University, 8/20/18
- Computational Applied Mathematics and PDE Seminar, University of Chicago, 5/2/18
- Entropies, the Geometry of Nonlinear Flows, & Applications, Banff International Research Station, 4/9/18, Video
- University of Texas, Analysis Seminar, 2/7/18

- Nonlocal equations in collective behavior, American Institute of Mathematics, San Jose, California, 6/20/18
- AMS Special Session on Metric Geometry and Topology, JMM, San Diego, CA, 1/11/18, Slides
- Optimal Transport and Machine Learning, NIPS, Long Beach, CA, 12/9/17, Slides

A blob method for degenerate diffusion

• Aggregation-Diffusion PDEs, Anacapri, Italy, 7/12/17

• Collaboratory on Mathematics for Mesoscopic Modeling of Materials (CM4), Webinar, 5/15/17

• Optimal Transport meets Probability, Statistics and Machine Learning, Casa Matemática Oaxaca, 5/2/17.

Collective dynamics and optimal transport

• UCSB Colloquium, 4/14/16

From slow diffusion to a hard height constraint: characterizing congested aggregation

• SIAM Special Session on Quasilinear Dispersive PDE, JMM, San Diego, CA, 1/13/18

• AMS Fall Western Sectional Meeting, Particle Methods & Nonlocal PDEs, UC Riverside, 11/5/17

• Center for Nonlinear Analysis Seminar, Carnegie Mellon University, 8/31/17

• Generated Jacobian Equations, Banff International Research Station, 4/12/17. Video, Slides

• Analysis and applied math seminar , Duke, 2/22/17, Slides

• Ki-net: Mean-field modeling and multiscale methods, UCSB, 10/31/16

• PIMS Workshop on Nonlocal Variational Problems and PDEs, 6/15/16

• SIAM PDE, Numerical Methods for PDE and Applications in Computational and Data Science, 12/8/15

• Midwest PDE Seminar , Michigan State University, 11/22/15

• Analysis Seminar, UCLA, 10/23/15

Nonlocal interaction energies and advances in nonconvex Wasserstein gradient flow

• Analysis Seminar, UCLA, 5/15/15

• New Trends in Optimal Transport, University of Bonn, 3/6/15.

A blob method for the aggregation equation and convergence of regularized nonlocal interaction energies

• Summer School on Quantum and Kinetic Theory for Complex Systems, UCSB, 6/17/16

• SIAM PDE, PDE Models and Control of Swarm Dynamics, 12/8/15

• Swarming and Collective Behavior, Equadiff, 7/6/15

• Session on Fractional Calculus and Nonlocal Operators, AMS Sectional Meeting, Michigan State University, 3/14/15

• Applied Math/PDE Seminar, UCSB, 10/10/14. Slides: BlobBeamer_100814.pdf

• Variational Problems Members Seminar, Fields Institute, 9/3/14.

• Entropy Methods, PDEs, Functional Inequalities, and Applications, Banff International Research Station, 7/1/14. Video

• Applied Math Colloquium , UCLA, 4/30/14.

• Applied Math Colloquium, Penn State, 4/21/14.

• SIAM PDE, Orlando, 12/9/13.

The exponential formula for the Wasserstein metric

• Numerical Methods for Viscosity Solutions & Applications, SIAM Annual Meeting, Chicago, 7/8/14. Slides

• Probability/PDE Seminar, Rutgers University, 4/11/14.

• Analysis Seminar, University of Pennsylvania, 2/18/14.

• Introductory Workshop on Optimal Transport, MSRI, 8/28/13.

Service

Panelist, UCSB SACNAS Grad Chapter Panel on Securing R1 Faculty Job, October 2018.

Co-organizer, Southern California Applied Mathematics Symposium (SOCAMS), UCSB, April 2018.

Participant, UCSB SACNAS Fall Lunch with Faculty, November 2017.

Co-organizer, AMS Special Session, Particle Methods and Nonlocal PDE, 2017, photo

Co-organizer, SIAM PDE minisyposium, Nonlocal Interaction Models: Dynamics, Asymptotics and Applications, 2015

Co-organizer, UCLA Special Seminar in Kinetic Theory, 2015

Member, UCLA Math Women’s Group, 2015

Founder and organizer, Math Women’s Tea, Rutgers University, 2011-2012

Referee for Inventiones Mathematicae, SIAM Journal of Mathematical Analysis, Mathematics of Computation, European Journal of Applied Mathematics, and Journal of Mathematical Analysis

Teaching

Fall 2018: Math 117 (Real Analysis) and Math 119a (ODEs and Dynamical Systems)

Spring 2017: Math 117 (Real Analysis)

Spring 2016: Math 117 (Real Analysis)

Spring 2015: UCLA Math 164 (Optimization)

Winter 2015: UCLA Math 134 (Optimization)

Fall 2014: UCLA Math 164 (Optimization)

Introductory Lectures

The math of swarming robots, slime mold, and superconductors

Collective dynamics and optimal transport

• UCSB Graduate Student Colloquium, 3/1/18

• UCSB Graduate Student Colloquium, 3/2/17

• UCSB Graduate Student Colloquium, 11/5/15

The math of swarming robots, slime mold, and college admissions

• UCLA Undergraduate Mathematics Students Association, 2/11/15

Outreach

Honorable Mention, NSF We Are Mathematics Video Competition, video

UCSB Problem Solving for Women to Encourage Research in STEM (POWERS), 3/3/18, photo

UCSB GRIT Talk, The math of swarming robots, slime mold, and superconductors, 6/26/17

UCSB Public Affairs, Pi Day Video, 3/14/17, video

Girls Inc. Curie-osity Project, How math can help you win a car (or goat), 3/1/17, photo