# Curriculum Vitae

A PDF is available here, though it is likely out of date.

## Employment

**Assistant Professor**, Michigan State University (2019 - Present)**Jones Assistant Professor***with Vaughan F. R. Jones*, Vanderbilt University (2018 - 2019)**NSF Postdoctoral Fellow***with Dan-Virgil Voiculescu*, University of California, Berkeley (2015 - 2018)

**Visiting Scholar Positions:**

- Institute of Pure and Applied Mathematics,
*Long program on Quantitative Linear Algebra*, (May - June 2018) - Hausdorff Research Institute for Mathematics,
*Trimester program on von Neumann algebras*, (May - August 2016)

## Education

**PhD in Mathematics**,*under Dimitri Shlyakhtenko*, University of California, Los Angeles, (June 2015)**BS in Mathematics**,*summa cum laude with a minor in Physics*, University of Illinois at Urbana-Champaign, (May 2010)

## Publications

**Free monotone transport without a trace**; Comm. Math. Phys.**334**(2015), no. 3, 1245-1298.**Free transport for finite depth subfactor planar algebras**; J. Funct. Anal.**268**(2015), no. 9, 2586–2620.**Combinatorics of bi-freeness with amalgamation**,*with I. Charlesworth and P. Skoufranis*; Comm. Math. Phys.**338**(2015), no. 2, 801–847.**On two-faced families of non-commutative random variables**,*with I. Charlesworth and P. Skoufranis*; Canad. J. Math.**67**(2016), no. 6, 1290-1325.**An application of free transport to mixed $q$-Gaussian algebras**,*with Q. Zeng*; Proc. Amer. Math. Soc.,**144**(2016), no. 10, 4357-4366.**On finite free Fisher information for eigenvectors of a modular operator**; J. Funct. Anal.**273**(2017), no. 7, 2292-2352**Free Stein kernels and an improvement of the free logarithmic Sobolev inequality**,*with M. Fathi*; Adv. Math.,**317**(2017), no. 7, 193-223.**Free transport for interpolated free group factors**,*with M. Hartglass*; J. Funct. Anal.**274**(2018), no. 1, 222-251**Free montone transport for infinite variables**,*with Q. Zeng*; Int. Math. Res. Not. IMRN (2018), no. 17, 5486–5535.**Non-tracial free graph algebras**,*with M. Hartglass*; preprint available at arXiv:1810.01922 (2018)**Free products of finite-dimensional and other von Neumann algebras in terms of free Araki–Woods factors**,*with M. Hartglass*; preprint available at arXiv:1810.01924 (2018)**Free Stein Irregularity and Dimension**,*with I. Charlesworth*; preprint available at arXiv:1902.02379 (2019)**A random matrix approach to absorption in free products**,*with B. Hayes, D. Jekel, and T. Sinclair*; preprint available at arXiv:1912.11569 (2019)

## Grants

**Groundwork for Operator Algebras Lecture Series 2020**NSF DMS-2000131 (2020-2021)**Non-Tracial Derivations and Distributions**NSF DMS-1856683 (2019 - 2022)**AMS-Simons Travel Grant**(2018-2019)**Postdoctoral Research Fellowship**NSF DMS-1502822 (2015 - 2018)

## Honors and Awards

**Distinguished Teaching Award**, MUSA of University of California, Berkeley (June 2018)**Pacific Journal of Mathematics Dissertation Prize**, Pacific Journal of Mathematics (June 2015)**Dissertation Year Fellowship**, University of California, Los Angeles (May 2014)**NSF Research and Training Grant Fellowship**, University of California, Los Angeles, Department of Mathematics (August 2010)**H. Roy Brahana Prize**, University of Illinois at Urbana-Champaign, Department of Mathematics (May 2010)**Emily Mann Peck Scholarship**, University of Illinois at Urbana-Champaign, Department of Mathematics (May 2009)**Elizabeth R. Bennett Scholarship in Mathematics**, University of Illinois at Urbana-Champaign, Department of Mathematics (May 2008)**Robert W. Rogers Scholarship**, University of Illinois at Urbana-Champaign (August 2007)**Robert C. Byrd Scholar**, University of Illinois at Urbana-Champaign (August 2007)

## Teaching Experience

**Michigan State University:**

- Math 317H -
*Honors Linear Algebra*(Fall 2021) - Math 828 -
*Real Analysis I*(Fall 2021) - Math 829 -
*Complex Analysis I*(Spring 2021) - Math 461 -
*Metric and Topological Spaces*(Fall 2020) - Math 890 -
*Readings in Mathematics: Von Neumann Algebras*(Spring 2020) - Math 920 -
*Functional Analysis*(Spring 2020) - Math 317H -
*Honors Linear Algebra*(Fall 2019)

**Vanderbilt University:**

- Math 2410 -
*Methods of Linear Algebra*(Spring 2019) - Math 1200 -
*Single Variable Calculus I*(Fall 2018)

**University of California, Berkeley:**

- Math 198 -
*Directed Group Study on Random Matrices*(Spring 2018) - Math 105 -
*Second Course in Analysis*(Spring 2018) - Math 104 -
*Introduction to Analysis*(Fall 2017) - Math 209 -
*Von Neumann Algebras*(Spring 2017) - Math H104 -
*Honors Introduction to Analysis*(Fall 2016)

**University of California, Los Angeles:**

*Course Instructor:*- Math 32B -
*Calculus of Several Variables II*(Spring 2014) *Teaching Assistant:*- Math 3B -
*Calculus for Life Science Students*(Summer 2014) - Math 31A -
*Differential and Integral Calculus*(Summer 2012) - Math 131A -
*Analysis*(Spring 2012) - Math 32A -
*Calculus of Several Variables I*(Spring 2012) - Math 31B -
*Integration and Infinite Series*(Winter 2012) - Math 32B -
*Calculus of Several Variables II*(Winter 2012) - Math 31A -
*Differential and Integral Calculus*(Fall 2011) - Math 32B -
*Calculus of Several Variables II*(Fall 2011)

## Presentations

**Invited Presentations:**

- Subfactor Seminar (virtual),
*Vanderbilt University*(February 2021) - Colloquium,
*Santa Clara University*(March 2020) - Probabilistic Operator Algebra Seminar,
*University of California, Berkeley*(March 2020) - Operator Theory Seminar,
*University of Iowa*(February 2020) - Analysis Commons,
*University of Virginia*(February 2020) - Joint Mathematics Meetings, AMS Special Session on C*-Algebras, Dynamical Systems and Applications,
*Denver*(January 2020) - CMS Winter Meeting, Operator Algebras Session,
*Toronto, Canada*(December 2019) - Subfactor Seminar,
*Vanderbilt University*(November 2019) - East Coast Operator Algebras Seminar,
*The Ohio State University*(October 2019) - Wabash Miniconference,
*Indiana University–Purdue University Indianapolis*(September 2019) - Workshop on Applications to Random Matrices and Free Probability of Free Noncommutative Functions,
*The Fields Institute for Research in Mathematical Sciences*(June 2019) - Great Plains Operator Theory Symposium,
*Texas A&M University*(May 2019) - Mathematical Physics and Gauge Theory Seminar,
*Michigan State University*(March 2019) - New Developments in Free Probability and Applications,
*Centre de Recherches Mathématiques*(March 2019) - Analysis Commons,
*University of Virginia*(November 2018) - West Coast Operator Algebras Seminar,
*Seattle University*(October 2018) - Functional Analysis Seminar,
*University of California, San Diego*(June 2018) - Subfactor Seminar,
*Vanderbilt University*(March 2018) - Functional Analysis Seminar,
*University of California, Los Angeles*(February 2018) - Colloquium,
*Michigan State University*(February 2018) - AMS Fall Western Sectional Meeting, Special Session on Advances in Operator Algebras,
*University of California, Riverside*(November 2017) - Operator Theory Seminar,
*University of Iowa*(October 2017) - Wabash Miniconference,
*Indiana University–Purdue University Indianapolis*(September 2017) - Departmental Colloquium,
*Indiana University*(September 2017) - Mathematical Congress of the Americas,
*Montreal*(July 2017) - Scientific Session on Free Probability and its Applications
- Scientific Session on Von Neumann Algebras and their Applications
- Statistics and Probability Seminar,
*Boston University*(April 2017) - Noncommutative Geometry Seminar,
*The Ohio State University*(March 2017) - Joint Mathematics Meetings, AMS Special Session on Advances in Operator Algebras,
*Atlanta*(January 2017) - Analytic versus Combinatorial in Free Probability,
*Banff International Research Station*(December 2016) - Functional Analysis Seminar,
*University of California, Los Angeles*(November 2016) - Subfactor Seminar,
*Vanderbilt University*(October 2016) - C*-Algebras Workshop,
*Mathematisches Forschungsinstitut Oberwolfach*(August 2016) - Oberseminar zur Freien Wahrscheinlichkeit,
*Universität des Saarlandes*(June 2016) - NCGOA Spring Institute,
*Hausdorff Research Institute for Mathematics in Bonn, Germany*(May 2016) - Probabilistic Operator Algebra Seminar,
*University of California, Berkeley*(February 2016) - Joint Mathematics Meetings, AMS Special Session on Classification Problems in Operator Algebras,
*Seattle*(January 2016) - Operator Algebras Seminar,
*Purdue University*(November 2015) - West Coast Operator Algebras Seminar,
*University of California, San Diego*(October 2015) - AMS Central Fall Sectional Meeting, Special Session on Recent Advances in Non-Commutative Analysis,
*Loyola University Chicago*(October 2015) - Free Probability Theory Workshop,
*Mathematisches Forschungsinstitut Oberwolfach*(June 2015) - Extended Probabilistic Operator Algebras Seminar,
*University of California, Berkeley*(May 2015) - Free (Stochastic) Analysis,
*Universität des Saarlandes*(March 2015) - Joint Mathematics Meetings, AMS Special Session on Classification Problems in Operator Algebras,
*San Antonio*(January 2015) - Free Probability Seminar,
*Texas A&M University*(November 2014) - West Coast Operator Algebras Seminar,
*University of Denver*(November 2014) - Subfactor Seminar,
*Vanderbilt University*(October 2014) - Workshop on von Neumann Algebras and Ergodic Theory,
*University of California, Los Angeles*(September 2014) - AMS Central Fall Sectional Meeting, Special Session on von Neumann Algebras and Related Fields,
*University of Wisconsin-Eau Claire*(September 2014) - Summer Informal Regional Functional Analysis Seminar – Free Probability Concentration Week,
*Texas A&M University*(July 2014) - Free Probability and the Large N Limit IV,
*University of California, Berkeley*(March 2014) - AMS Southeastern Spring Sectional Meeting, Special Session on von Neumann Algebras and Free Probability,
*University of Tennessee, Knoxville*(March 2014) - Probabilistic Operator Algebra Seminar, University of California, Berkeley (February 2014)
- Functional Analysis Seminar,
*University of California, Los Angeles*(October 2013)

**Contributed Presentations:**

- The 48th Canadian Operator Symposium (virtual),
*The Fields Institute for Research in Mathematical Sciences*(May 2020) - Free Probability Theory Workshop,
*Mathematisches Forschungsinstitut Oberwolfach*(December 2018) - Young Mathematicians in C*-Algebras, Katholieke Universiteit Leuven (August 2018)
- IPAM Quantitative Linear Algebra Culminating Workshop,
*UCLA Lake Arrowhead Conference Center*(June 2018) - Cal Day,
*University of California, Berkeley*(April 2018) - Dyson–Schwinger Equations, Topological Expansions, and Random Matrices,
*University of Columbia*(August 2017) - Great Plains Operator Theory Symposium,
*Texas Christian University*(May 2017) - Cal Day,
*University of California, Berkeley*(April 2017) - Free Probability and the Large N Limit V,
*University of California, Berkeley*(March 2016) - Great Plains Operator Theory Symposium,
*Kansas State University*(May 2014) - Functional Analysis Seminar,
*University of California, Los Angeles*(February 2014) - Optimal Transport and Applications Summer School,
*UCLA Lake Arrowhead Conference Center*(October 2013)

**Other Conferences Attended:**

- Early Career Workshop in Operator Theory & Operator Algebras (virtual),
*Indiana University*(February 2021) - IPAM Workshop on Actions of Tensor Categories on C*-algebras (virtual),
*University of California, Los Angeles*(January 2021) - Joint Mathematics Meetings (virtual),
*Washington D.C.*(January 2021) - Brazos Analysis Seminar (virtual),
*Texas A&M University*(November 2020) - Field of Dreams Conference (virtual),
*Math Alliance*(November 2020) - Virginia Operator Theory and Complex Analysis Meeting (virtual),
*Washington & Lee University*(October 2020) - Subfactors and Applications Workshop,
*Mathematisches Forschungsinstitut Oberwolfach*(October 2019) - Classification Problems in von Neumann Algebras,
*Banff International Research Station*(September 2019) - C*-Algebras Workshop,
*Mathematisches Forschungsinstitut Oberwolfach*(August 2019) - Summer Research Program on Quantum Symmetries,
*The Ohio State University*(June 2019) - NCGOA Spring Institute,
*Vanderbilt University*(May 2019) - International Congress of Mathematicians,
*Rio de Janeiro, Brazil*(August 2018) - Random Matrices,
*Park City Mathematics Institute*(June 2017) - Ergodic Theory and Operator Algebras,
*Texas A&M University*(June 2017) - NCGOA Spring Institute,
*Vanderbilt University*(May 2017) - East Coast Operator Algebras Seminar,
*Loyola University Chicago*(October 2016) - NCGOA Spring Institute,
*Vanderbilt University*(May 2015) - Kadison-Singer, Interlacing Polynomials, and Beyond,
*Mathematical Sciences Research Institute*(March 2015) - Subfactor Theory in Mathematics and Physics,
*Maui, Hawaii*(July 2014) - Subfactors and Fusion Categories,
*Banff International Research Station*(April 2014) - Great Plains Operator Theory Symposium,
*University of California, Berkeley*(May 2013) - Workshop on von Neumann Algebras and Ergodic Theory,
*University of California, Los Angeles*(May 2012)

## Service

**Conference Organizer:**

- East Coast Operator Algebras Symposium. October 17-18, 2020 at the University of Virginia (held virtually). Co-organized with Ben Hayes.
- Groundwork for Operator Algebras Lecture Series. June 29 - July 19, 2020 at Michigan State University (held virtually). Co-organized with Kristin Courtney, Rolando de Santiago, and Elizabeth Gillaspy.
- Joint Mathematics Meetings AMS Special Session: Advances in Operator Algebras. January 17, 2020 in Denver, Colorado. Co-organized with Ian Charlesworth, Sarah Reznikoff, and Lauren Ruth.
- Shanks Workshop: Free Probability and Applications. September 15-16, 2018 at Vanderbilt University. Co-organized with Dietmar Bisch.
- Joint Mathematics Meetings AMS Special Session: Advances in Operator Algebras. January 12-13, 2018 in San Diego, California. Co-organized with Marcel Bischoff, Ian Charlesworth, and Sarah Reznikoff.
- Extended Probabilistic Operator Algebras Seminar. November 10-12, 2017 at UC Berkeley. Co-organized with Dimitri Shlyakhtenko and Dan-Virgil Voiculescu.
- Free Probability and the Large N Limit, V. March 22-26, 2016 at UC Berkeley. Co-organized with Dimitri Shlyakhtenko and Dan-Virgil Voiculescu.

**Journal Referee:**

- Advances in Applied Mathematics
- Advances in Mathematics
- Analysis & PDE
- AMS Mathematical Reviews
- Canadian Journal of Mathematics
- Communications in Mathematical Physics
- Houston Journal of Mathematics
- International Journal of Mathematics
- International Mathematical Research Notices
- Journal of Functional Analysis
- Journal of the London Mathematical Society
- Proceedings A of the Royal Society of Edinburgh
- Proceedings of the AMS
- Studia Mathematica