Taryn C. Flock

Contact Department of Mathematics and Statistics fl[email protected] Information University of Massachusetts http://people.math.umass.edu/~flock/ 710 N. Pleasant Street Amherst, MA 01003, USA US Citizen

Research harmonic analysis, geometric measure theory, and partial differential equations Interests

Education University of California at Berkeley Ph.D. in Mathematics, Advisor: Michael Christ August 2009 – May 2014 Yale University B.S. in Mathematics, cum laude August 2005 – May 2009

Employment University of Massachusetts, Amherst Marshall H. Stone Visiting Assistant Professor August 2017 – Present Math Science Research Institute, Berkeley, California Research Member January 2017 – March 2017 University of Birmingham, United Kingdom Research Fellow August 2014 – August 2017

Publications 1. J. Bennett, N. Bez, S. Buschenhenke, M.G. Cowling, T.C. Flock The nonlinear Brascamp–Lieb inequality. Submitted. Arxiv:1811.11052 includes the results of the previous: J. Bennett, N. Bez, S. Buschenhenke, T.C. Flock The nonlinear Brascamp–Lieb inequality for simple data. Arxiv:1801.05214 2. J. Bennett, N. Bez, T.C. Flock, S. Guti´errez,M. Iliopoulou A sharp k-plane Strichartz inequality for the Schr¨odingerequation. Trans. Amer. Math. Soc. 370 no. 8 (2018) pp 5617-5633 Arxiv:1611.03692 3. J. Bennett, N. Bez, T.C. Flock, S. Lee Stability of the Brascamp Lieb constant and applications. Am. J. Math, 140, no. 2 (2018) pp 543-569. Arxiv:1508.07502 4. J. Bennett, N. Bez, M.G. Cowling, and T.C. Flock Behaviour of the Brascamp– Lieb constant. Bull. Lond. Math. Soc, 49, no. 3 (2017) pp 512-518, Arxiv:1605.08603 5. T.C. Flock, Uniqueness of extremizers for an endpoint inequality of the k-plane transform J. Geom. Anal. 1, no. 26 (2016) pp 570-602. Arxiv:1508.07502 6. M. Christ and T.C. Flock Cases of equality in certain multilinear inequalities of Hardy-Riesz-Rogers-Brascamp-Lieb-Luttinger type J. Funct. Anal. 267 (2014) pp 998-1010 Arxiv:1307.6551 7. T.C. Flock and R. Strichartz Laplacians on a family of Julia sets I Trans. Amer. Math. Soc. 364(2012)pp 3915-3965

Professional Invited Talks Activities A Nonlinear Brascamp–Lieb inequality 3rd Northeastern Analysis Meeting, State Uni. of New York (plenary) October 2018 Workshop in Fourier Analysis, University of Wisconsin-Madison May 2018 A sharp X-ray Strichartz inequality for the Schrodinger equation FRG-NSF Women in PDE mini-conference, Umass Amherst March 2018 Behaviour of the Brascamp–Lieb constant and applications 2nd Bilbao Meeting on analysis & PDEs, Basque Center for App. Math., Spain May 2017 British Mathematical Colloquim, analysis session, Bristol University, UK March 2016 LMS network in Harmonic Analysis and PDE Warwick University, UK December 2015 George Boole Mathematical Sciences Conference, Theme 5, Cork Ireland August 2015 Taryn C. Flock Extremizers for certain inequalities of the k-plane transform AMS-EMS-SPM international meeting, special session in HA, Porto, Portugal June 2015 Uniqueness of extremizers for an endpoint inequality of the k-plane transform AWM Research Symposium, Santa Clara, Analysis session, CA, USA March 2013 Seminar Talks Sharp Inequalities in Harmonic Analysis Faculty Seminar, Williams College September 2018 Colloquium, University of Massachusetts, Amherst February 2017 Colloquium, Villanova University February 2017 A Nonlinear Brascamp-Lieb Inequality Analysis Seminar, Syracuse University November 2018 A sharp X-ray Strichartz inequality for the Schrodinger equation Analysis Seminar, Brown University November 2017 Analysis Seminar, University of Rochester September 2017 Behaviour of the Brascamp–Lieb constant and applications Applied Math/Analysis Seminar, Yale University October 2017 Functional Analysis Seminar, Oxford University May 2017 Analysis seminar, Cardiff University May 2017 Harmonic Analysis postdoc seminar, MSRI March 2017 Harmonic Analysis and PDE student seminar, UC Berkeley February 2017 Applied Analysis Seminar, Virgina Tech February 2017 Extremizers for certain inequalities of the k-plane transform University of Edinburgh, UK January 2016 University of Sussex, Brighton, UK June 2015 University of Wisconsin-Madison April 2014 Cases of equality for certain rearrangement inequalities University of Bristol, UK April 2015 Smoothness of extremizers for certain inequalities of the k-plane transform Cornell University November 2013 University of Pennsylvania October 2013 Contributed Talks The Nonlinear Brascamp-Lieb Inequality for Simple Data Advancing Women’s Impact in Math Symposium, Worcester, MA April 2018 Behaviour of the Brascamp–Lieb constant and applications Northeast Analysis Network Conference, Syracuse, NY September 2017 Conference in Harmonic Analysis in Honor of Michael Christ, Madison, WI May 2016 LMS-EMS mathematical weekend, Birmingham UK September 2015 A sharp X-ray Strichartz inequality for the Schrodinger equation Young Women in Harmonic Analysis and PDE, Bonn, Germany December 2016 10th International Conference on HA and PDE, El Escorial, Spain June 2016 Selected Expository Talks Introduction to the X-ray transform Umass Amherst, Math Club February 2018 Cornell, Undergraduate student association November 2013 Sharp inequalities, the Radon Transform, and Schrodinger’s Equation Topics in analysis course, Yale University October 2017 Competing Symmetries Cornell, Graduate Student colloquium November 2013

2 Taryn C. Flock Rearrangement inequalities, Harmonic Analysis and PDE student seminar February 2012

Summer Schools Math Research Community: Oscillatory Integrals, West Greenwich, RI, USA June 2018 Sharp Inequalities Knopp, Germany September 2015 Optimal Transport, Lake Arrowhead, CA, USA October 2013 Geometric and Fourier analytic questions , Lake Arrowhead, CA, USA October 2011

Other Conferences and Workshops Geometric Aspects of Harmonic Analysis, Cortona, IT June 2018 Harmonic analysis and its interactions, Edinburg, UK July 2017 Joint Math Meetings, GA, USA Jan 2017 13th New Mexico Analysis Seminar, UNM, NM, USA April 2014 Joint Math Meetings, MD, USA Jan 2014 Workshop for Women in Analysis and PDE, IMA, MN, USA May 2012 Analysis and Applications, Princeton, NJ, USA May 2011

Teaching University of Massachusetts Experience Instructor (Responsible for all aspects of the course) Calculus 1 Honors (2 sections) Fall 2018 Intro. to Modern Analysis (Real Analysis II) (undergrad level) Spring 2018 Intro. to Modern Analysis (Real Analysis I) (undergrad level) Fall 2017 Instructor (Responsible for lecture) Linear Algebra (undergrad level) Spring 2018 University of Birmingham Instructor (Designed course, responsible for all aspects) Topics in Analysis: Fourier Analysis (graduate level) Spring 2015, Fall 2015, 2016 University of California Berkeley Summer Sessions Instructor (Responsible for all aspects) Summer 2012 Math1A (first semester calculus) Graduate Student Instructor (lead discussion sections) Math1B (second semester calculus) Spring 2012 Math1A (first semester calculus) Fall 2011

Honors and Dissertation Year Fellowship, UC Berkeley Fall 2013- Spring 2014 Awards Chancellor’s Fellowship, UC Berkeley Fall 2009- Spring 2011 Deforest Senior Prize , Yale University Mathematics Department 2009 Anthony D. Stanley Memorial Prize, Yale University Mathematics Department 2008 Los Alamos National Lab Foundation Platinum Scholarship 2005-2009

Service and University of Massachusetts Outreach Moderator, Panel on computers in creative disciplines at the UMCA (planned) April 2019 Co-organizer, MRC Special session in harmonic analysis at the JMM January 2019 Organizer, Harmonic Analysis Seminar Fall 2018 - Present Member, Department Climate Committee Fall 2018 - Present Member, Dean’s Graduate Student/Postdoc Advisory Council Spring 2018 - Present

3 Taryn C. Flock University of Birmingham Co-organizer, Meeting of the LMS Harmonic Analysis and PDE network December 2016 Member, Athena SWAN self-assessment team (encouraging diversity) Fall 2016 Organizer, Harmonic analysis reading seminar Fall 2015-Fall 2016 Co-organizer, Meeting of the LMS Harmonic Analysis and PDE network March 2015 University of California Berkeley Mentoring Coordinator, Treasurer, Math Grad. Student Assoc. Spring 2010 – Sp. 2014 Member, Prospective student outreach, Nring (Women’s group) Fall 2009 – Spring 2014 Student Representative, Faculty Appointments Committee Spring 2012- Spring 2013 Co-organizer, H. Analysis and Differential Eqs. Student seminar Fall 2011 – Spring 2013 Co-organizer, Harmonic analysis student seminar Spring 2013 Ad-hoc reviewer for Proceedings of the AMS, Mathematika, Bulletin of the London Mathematical Society, Jour- nal of Geometric Analysis, SIAM Journal on Applied Algebra and Geometry

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