Curriculum Vitae

2023– Assistant Professor (Tenure-Track), Illinois Institute of Technology

2021–2023 Assistant Professor (RTPC), University of Southern California 

2018–2021 Van Vleck Visiting Assistant Professor, University of Wisconsin, Madison

Fluid Dynamics, Navier-Stokes and Euler Equations, Collective Dynamics, Partial Differential Equations 

2015–2018 PhD in Pure Mathematics, University of Illinois at Chicago.  Advisor: Roman Shvydkoy

2013–2015 Master of Science in Mathematics, University of Illinois at Chicago.

2008–2013 Bachelor of Science in Mathematics, Indiana University, Bloomington. 

2008–2013 Bachelor of Music in Piano Performance, Indiana University, Bloomington.

2022 SIAM Early Career Travel Award

2018 SIAM Student Travel Award

2017 Victor Twersky Memorial Scholarship

2015 Graduate Student Teaching Award

2013–2014 MSCS Departmental Fellowship

2013 Marie S. Wilcox Scholarship

2008–2012 Cox Research Scholarship Program

11. T.M. Leslie and C. Tan. "Cluster Formation for Weak Solutions of the 1D Euler-alignment System." (In preparation).

10. T.M. Leslie and C. Tan. "Sticky Particle Cucker–Smale Dynamics and the Entropic Selection Principle for the 1D Euler-alignment System." Communications in Partial Differential Equations, DOI:  10.1080/03605302.2023.2202720.

9. H. Bahouri, T.M. Leslie, and G. Perelman. "Hs Bounds for the Derivative Nonlinear Schrödinger Equation." arXiv:2107.12297 (accepted for publication in Mathematical Research Letters). 

8. D. Lear, T.M. Leslie, R. Shvydkoy, and E. Tadmor. "Geometric Structure of Mass Concentration Sets for Pressureless Euler Alignment Systems.'' Adv. Math. 401 (2022), 108290, 1–30.

7. T.M. Leslie "On the  Lagrangian Trajectories for the One-Dimensional Euler Alignment Model without Vacuum Velocity." Comptes Rendus Mathématique 348 (2020), no. 4, 421–433.

6. T.M. Leslie and R. Shvydkoy. "On the Structure of Limiting Flocks in Hydrodynamic Euler Alignment Models." Math. Methods Appl. Sci. 29 (2019), no. 13, 2419–2431.

5. T.M. Leslie. "Weak and Strong Solutions to the Forced Fractional Euler Alignment System." Nonlinearity 32 (2019), no. 1, 46–87.  

4. T.M. Leslie and R. Shvydkoy. "The Energy Measure for the Euler and Navier-Stokes Equations." Arch. Ration. Mech. Anal. 230 (2018), no. 2, 459–492.

3. T.M. Leslie and R. Shvydkoy.  "Conditions Implying Energy Equality for Weak Solutions of the Navier-Stokes Equations." SIAM J. Math. Anal. 50 (2018), no. 1, 870–890.

2. T.M. Leslie and R. Shvydkoy. "The Energy Balance Relation for Weak Solutions of the Density-Dependent Navier-Stokes Equations."  J. Differential Equations 261 (2016), no. 6, 3719–3733.

1. T.M. Leslie, E. Weisman, R. Khatiwada, and J.C. Long. "Prospects for Electron Spin-Dependent Short-Range Force Experiments with Rare Earth Iron Garnet Test Masses.'' Phys. Rev. D 89 (2014), 114022.

University of Southern California

Spring 2023 MATH 425b, Fundamental Concepts of Analysis (part II). 16 students.

Fall 2022 MATH 425a, Fundamental Concepts of Analysis (part I). 23 students.

Fall 2022 MATH 226, Calculus III. 54 students.

Spring 2022 MATH 425b, Fundamental Concepts of Analysis (part II). 17 students.

Spring 2022 MATH 129, Calculus II for Engineers and Scientists. 49 students.

Fall 2021 MATH 245, Mathematics of Physics and Engineering I. 45 students.

University of Wisconsin, Madison

Fall 2020 MATH 415, Applied Dynamical Systems, Chaos, and Modeling. Online; 60 students.

Fall 2020 MATH 234, Multivariable Calculus. Online; 260 students.

Spring 2020 MATH 522, Analysis II. 2nd half online; 24 students.

Fall 2019 MATH 340, Elementary Matrix and Linear Algebra. 2 sections, 350 students.

Spring 2019 MATH 521, Analysis I. 35 students. 

Fall 2018 MATH 521, Analysis I. 35 students. 

University of Illinois at Chicago

Fall 2016   MATH 210, Multivariable Calculus. 24 students.

2023

Workshop on New Trends in Fluids and Collective Dynamics.  Banff International Research Station 

AMS Spring Western Sectional Meeting: Minisymposium on Nonlinear PDE's in Fluid Dynamics

University of South Carolina, Columbia, Applied and Computational Mathematics Seminar

Illinois Institute of Technology, Departmental Colloquium

University of North Texas, Departmental Colloquium

2022

University of Nebraska, Lincoln, Departmental Colloquium

Conference on Kinetic and Hydrodynamic Descriptions in Collective Behavior. Granada, Spain.

AMS Fall Western Sectional Meeting: Minisymposium on Mathematics of Collective Behavior. 

Equadiff 15: Minisymposium on Hydrodynamics of collective behavior.  Masaryk University, Brno, Czech Republic.

University of Illinois at Chicago, Analysis and Applied Mathematics Seminar.

SIAM Conference on Analysis of Partial Differential Equations: Minisymposium on Aggregation-Diffusion Equations and related topics (online)

2021

University of Arizona, Analysis, Dynamics, and Applications Seminar. (Online)

V Workshop on Fluids and PDE.  Universidade Estadual de Campinas, Brazil. (Online)

University of Southern California, Center for Applied Mathematical Sciences Colloquium.

Mathematical Sciences Research Institute, Program on Mathematical Problems in Fluid Dynamics; Euler/Navier-Stokes Seminar (Online), 

2020 

Second Mid-Atlantic Analysis Meeting (Online)

University of South Carolina, Columbia, Applied and Computational Mathematics Seminar (Online).

2019

SIAM Conference on Analysis of Partial Differential Equations: Minisymposium on Nonlocal PDEs in Fluid Dynamics. 

Young Researchers Workshop: Ki-Net 2012–2019. Center for Scientific Computation and Mathematical Modeling at the University of Maryland, College Park.

SIAM Southeastern Atlantic Sectional Meeting. Minisymposium on Recent Developments in Nonlocal PDEs in Fluids and Other Applications.  University of Tennessee, Knoxville.

Conference on Applied Kinetic Theory for Junior Researchers.  University of Wisconsin, Madison.

University of Wisconsin, Madison Analysis Seminar.

Ki-Net Workshop on Mathematical Aspects of Collective Dynamics: Kinetic Description and Fractional Diffusion.  Center for Scientific Computation and Mathematical Modeling at the University of Maryland, College Park.

2018

University of Wisconsin, Madison, PDE and Geometric Analysis Seminar

Workshop on Career Opportunities in Applied Analysis.  University of Illinois at Chicago.

AMS Spring Eastern Sectional Meeting: Minisymposium on Nonlinear and Stochastic Partial Differential Equations and Applications.  Northeastern University. 

Department Open House for Prospective Students.  University of Illinois at Chicago.

2017 

SIAM Conference on Analysis of Partial Differential Equations: Minisymposium on Regularity and Long-Time Behavior of Fluid Flows.  

79th/80th Midwest PDE Seminar. University of Illinois at Chicago.

Third Summer School on Harmonic Analysis and Partial Differential Equations. Basque Center for Applied Mathematics.

Rocky Mountain PDE Conference.  Brigham Young University.

Chicago Area SIAM Student Conference.  Northwestern University.

University of Illinois at Chicago Analysis and Applied Mathematics Seminar.

2016 

University of Illinois at Chicago Graduate Student Colloquium. 

Conference on Analysis of PDEs of Fluid Mechanics. Rice University. (Poster Presentation.) 

Chicago Area SIAM Student Conference.  University of Illinois at Chicago.

Winter School in Multiscale Methods and Applications. University of Illinois at Chicago.

2023 IIT Summer Undergraduate Research Experience (SURE) Program

• Served as an adviser for the project: Learning and Modeling Collective Behaviors

2022–2023 Caltech-UCLA-USC Joint Analysis and PDE Seminar

• Served as lead USC organizer (2022-2023 Academic Year) or co-organizer (Spring 2022)

September 2022 USC Center for Applied Mathematical Sciences Career Advice Panel

• Served as a panelist and fielded questions from graduate students preparing for the postdoc job market

August 2022 USC Math Departmental Screening Exam Committee

• Served on the three-member committee for the ODE screening exam

July–August 2019 Mathematical Sciences Research Institute

• Served as a Teaching Assistant for the 2-week Summer School "Recent topics 

on Well-Posedness and Stability of Incompressible Fluid and Related Topics''

• Led 14 problem sessions for the graduate students attending the school

Fall 2018–Spring 2019 Undergraduate Research Scholars Program, University of Wisconsin, Madison

• Served as a research mentor for undergraduate math major Tyler Wolter on project: ''Models in Collective Dynamics with Singular Interactions.''  

• Results presented in the annual Undergraduate Symposium at the University of Wisconsin, Madison.

Spring 2016, 2017 Chicago Area SIAM Student Conferences

• Served as lead organizer and conference host (2016, University of Illinois at   Chicago) and co-organizer (2017, Northwestern University)

Fall 2014–Spring 2017 University of Illinois at Chicago Graduate Analysis Seminar

• Organized and coordinated weekly talks by graduate students studying analysis and occasional guest speakers

Fall 2014–Spring 2017 University of Illinois at Chicago SIAM Student Chapter

• Chapter Officer (Co-President 2015–2017, Secretary 2014–2015)

• Co-organized 2016 and 2017 Chicago Area SIAM Student Conferences (Co-Chair 2016)

Spring 2015 University of Illinois at Chicago Math Circle

• Worked with small groups of students in grades six through eight at biweekly math enrichment sessions for Chicago Public Schools students

• Collaborated on the design and implementation of curriculum and educational materials

2015–2018 Research Assistant, University of Illinois at Chicago. Advisor: Roman Shvydkoy.

2014–2015, 2018 Teaching Assistant/Discussion Section Instructor, University of Illinois at Chicago.

• MATH 210: Multivariable Calculus (Fall 2014, Spring 2015) 

• MATH 180: Single Variable Calculus 1 (Fall 2015, Spring 2018)

2009–2013 Research Assistant, Center for the Exploration of Energy and Matter, 

     Indiana University, Bloomington. Advisor: Joshua Long, IU Physics Department.

• Conducted studies on and implemented improvements to an apparatus designed to detect possible new short-range forces in nature.

• Performed optimization calculations to determine ideal experimental geometry; modeled short-range potentials and predicted experimental limits using a Monte Carlo simulation.

• Kinetic and Related Models

• Annals of PDE

• SIAM Journal on Applied Mathematics

• SIAM Journal on Mathematical Analysis (x3)

• Nonlinear Analysis: Real World Applications

• Journal of Mathematical Fluid Mechanics

• Nonlinearity (x2)

• Journal of Differential Equations (x3)

• Communications in Mathematical Physics

• Analysis and PDE

• Journal of Mathematical Analysis and Applications

• Nonlinear Analysis

2014–2023 Society for Industrial and Applied Mathematics

2014–2023 American Mathematical Society