Contact Information Professional Appointments Department of Mathematics Phone: (***) *** - **** University of Texas at Austin freeman@math.utexas.edu Austin, TX 78712-0257 USA www.math.utexas.edu/users/freeman University of Texas, Austin, TX, USA R. H. Bing instructor, August 2010 - current. Texas A&M University, College Station, TX, USA Visiting assistant professor, September 2009 - August 2010. Education Texas A&M University, College Station, TX, USA Ph.D., Mathematics, August 2009 Advisor: Professor Thomas Schlumprecht Thesis title: Upper estimates for Banach spaces Guilford College, Greensboro, NC, USA B.S., Mathematics and Physics, May 2003 Advisors: Ruddy Gordh and Elwood Parker Thesis title: Ellipsoidal and convex tight frames. Research Interests Research Papers Functional analysis, Geometry of Banach spaces, Frames. 14. Equilateral sets in uniformly smooth Banach spaces. (with E. Odell, B. Sari and Th. Schlumprecht), in preparation. 13. Uniformly factoring weakly compact operators. (with K. Beanland), in preparation. 12. Ordinal Ranks on Weakly Compact and Rosenthal Operators. (with K. Beanland), 17 pages, submitted for publication. 11. Upper and lower estimates for Schauder frames and atomic decompositions. (with K. Beanland and R. Liu), in preparation. 10. Finite unit norm tight frames on manifolds. (with R. Hotovy, E. Martin), in preparation. 9. HI extensions of L spaces and spaces with very few operators.(with S.A. Argyros, R.G. Haydon, E. Odell, Th.Raikoftsalis, Th. Schlumprecht and D.Z. Zisimopoulou), in preparation. 8. Weak Grothendiek compactness principles. (with P.N. Dowling, C.J. Lennard, E. Odell, B. Randrianantoanina, B. Turett), 16 pages, submitted for publication. 1
7. Moving Parseval frames for vector bundles. (with D. Poore, R. Wei, M. Wyse), 12 pages, submitted for publication. 6. Embedding uniformly convex spaces into spaces with very few operators.(with S.A. Argyros, R.G. Haydon, E. Odell, Th.Raikoftsalis, Th. Schlumprecht and D.Z. Zisimopoulou), 25 pages, to appear in J. Functional Analysis. 5. Greedy bases for Besov spaces. (with S. Dilworth, E.Odell, Th. Schlumprecht), 16 pages, to appear in Constructive Approx. 4. The universality of l 1 as a dual space. (with E.Odell, Th. Schlumprecht), Math. Annalen. 351 (2011), no. 1, 149 186. 3. Banach spaces of bounded Szlenk index II (with E. Odell, Th. Schlumprecht, A. Zsak), Fundamenta Math. 205 (2009) 161 177. 2. Weakly null sequences with upper estimates. Studia Math. 184 (2008), no. 1, 79 102. 1. Ellipsoidal tight frames and projection decompositions of operators. (with K. Dykema, K. Kornelson, D. Larson, M. Ordower, E. Weber), Illinois J. Math. 48 (2004), no. 2, 477 489. Awards National Science Foundation Research Grant, Topics in the geometry of Banach spaces, DMS-1001929, $76,443, June 2010-May 2013. Faculty Travel Grant, $1,200, University of Texas at Austin, 2011. R.H. Bing fellowship, $7,000 per year and $1,000 travel allowance per year, University of Texas at Austin, 2010-2013 Mathematical Association of America Project NExT fellow, 2010-2011. L.F. Guseman Prize in Mathematics Award, Texas A&M University, 2009. Given for outstanding research, teaching, and service as a graduate student. AUF Fellowship, Texas A&M University, Sep 2004-Aug 2005 and Sep 2006-Aug 2009. NSF-VIGRE Fellowship, Texas A&M University, Sep 2003-Aug 2004 and Sep 2005-Aug 2006. The Learning Commons Outstanding Tutor Award, Guilford College, 2003. Given to the tutor who has contributed in the most positive, responsible, and creative ways. 2 of 6
Research mentored and independent study directed Honors senior thesis, Eileen Martin, University of Texas, Austin Fall 2011- Spring 2012. Eileen has received a Goldwater fellowship to work on this project. Independent study in number theory, Ashton Grimbal, University of Texas, Austin Fall 2011. Wavelets and matrix analysis REU, Eileen Martin and Ryan Hotovy, Texas A&M Summer 2010. Created and mentored research project on finite unit norm tight frames on manifolds. A paper containing the results is in preparation. Independent study in Banach spaces, Mitch Phillipson and Casey Rodriguez, Texas A&M Summer 2010. Wavelets and matrix analysis REU, Daniel Poore, Rebecca Wei and Madeline Wyse, Texas A&M Summer 2009. Created and mentored research project on moving Parseval frames for vector bundles. A paper containing the results has been submitted for publication. Invited Talks Millican-Colloquium, University of North Texas, Title: Embedding Banach spaces and factoring operators, October 2011. Workshop in Analysis and Probability, Texas A&M University, Title: Shrinking and boundedly complete Schauder frames for Banach spaces, July 2011. Summer meeting of the CMS, session on Banach Spaces and Operators Between Them, University of Alberta, Schauder frames for Banach spaces, June 2011. Joint Linear Analysis/Banach space Seminar, Texas A&M University, Title: Weak Grothendieck compactness principles, May 2011. Southeastern section meeting of the AMS, Special Session on Geometry of Banach Spaces, University of Richmond, Title: Redundant frames for vector bundles, November 2010. Analysis Seminar, Virginia Commonwealth University, Title: Redundant frames on manifolds, September 2010. VOTCAM, Virginia Commonwealth University, Title: Greedy bases for Besov spaces, September 2010. Linear Analysis Seminar, Texas A&M University, Title: Embedding into L Banach spaces, April 2010. 3 of 6
Workshop on Optimal Frames and Operator Algebras, San Francisco State University, Title: Embedding Banach spaces, January 2010. SUMIRFAS, Texas A&M University, Title: The universality of l 1 as a dual space, August 2009. Workshop on analysis and probability, Texas A&M University, Title: A greedy basis for ( l n p ) lq, July 2009. Analysis seminar, University of Texas, Title: The universality of l 1 as a dual space, October 2008. IMST conference, session on Banach Space Theory and Applications, University of Memphis Title: Weakly null sequences with upper estimates, May 2008. Contributed Talks 2012 Joint Mathematics Meeting, Title: Shrinking and boundedly complete frames for Banach spaces, January 2011. 2011 Joint Mathematics Meeting, Title: Embedding Banach spaces into spaces with very few operators, January 2011. Graduate student talks at Texas A&M Greedy Bases for Besov spaces. Approximation theory seminar, Oct 2009. Redundant frames on manifolds. Postdoc seminar, Oct 2009. Ramsey Theory. Graduate student recruitment seminar, March 2009. Ramsey methods in analysis. Graduate student seminar, March 2009. The universality of l 1 as a dual space.(3 talks) Banach space seminar, Oct 2008. Banach spaces with bounded Szlenk index.(2 talks) Banach space seminar, February and March 2008. Weakly null sequences with upper estimates. Banach space seminar, Sept 2007. Examples of minimality in Schlumprecht s space. Graduate student functional analysis seminar, Oct 2006. The Banach Mazur distance to the cube. Graduate student functional analysis seminar, Sept 2006. Ramsey methods in analysis. Graduate student seminar, April 2006. Frames, bases, and group representations.(2 talks) Frames seminar, Oct 2005. 4 of 6
Conferences, Workshops Greedy algorithms in Banach spaces and compressed sensing, Texas A&M University, July 2011. Summer meeting of the CMS, University of Alberta, June 2011. Southeastern section meeting of the AMS, University of Richmond, November 2010. VOTCAM, Virginia Commonwealth University, September 2010. Mathfest, June 2010 and 2011. Workshop on Optimal Frames and Operator Algebras, San Francisco State University, January 2010. SUMIRFAS, Summer Informal Regional Functional Analysis Seminar, Texas A&M University, August 2007, 2008, 2009, 2010 and 2011. Workshop on analysis and probability, Texas A&M University, July 2007, 2008, 2009, 2010 and 2011. 12th Annual Legacy of R.L. Moore Conference, Inquiry-Based Learning in Different Contexts, Austin TX, July 2009. Joint Mathematics Meeting, January 2006, 2008, 2009, 2010 and 2011. IMST conference, International Conference on Interdisciplinary Mathematical and Statistical Techniques, University of Memphis, May 2008. Banach spaces and their applications in Analysis, a conference in honor of Nigel Kalton s 60th birthday, Miami University, Ohio, May 2006. Conferences organized Greedy algorithms in Banach spaces and compressed sensing, concentration week in the workshop on analysis and probability, Texas A&M University, July 2011. co-organized with S. Dilworth, D. Kutzarova, E. Odell and Th. Schlumprecht. Website: www.math.utexas.edu/users/freeman/greedy11 Panel discussion on undergraduate research, Project NExT panel at the 2011 Joint Mathematics Meeting, January 2011. co-organized with J. Jacobs, K. Roinestad, and A. Yust. 5 of 6
Journal Referee Judge Proceedings of the American Mathematical Society, American Mathematical Monthly, Journal of Functional Analysis, Journal of Approximation Theory, Comptes Rendus Mathematique, Positivity, Studia Mathematica, Nonlinear Analysis Series B: Real World Applications, Bulletin of the Polish Academy of Sciences, and Bulletin of the Korean Mathematical Society. Region two judge for 2011 Siemens competition in math, science and technology. Teaching Instructor, University of Texas, Austin. experience Discrete Mathematics, Spring 2012. Introduction to Number Theory, Fall 2011. Differential Calculus, Fall 2011. Independent Study on Number Theory, Fall 2011. Honors Senior Thesis on Frames and Vector Bundles, Fall 2011-Spring 2012. Introduction to Number Theory, Spring 2011. Differential and Integral Calculus, Fall 2010. Discrete Mathematics, Fall 2010. Instructor, Texas A&M University. Independent study on Banach spaces, Summer 2010. REU on Wavelets and Matrix Analysis, Summer 2010. Calculus I for Engineers, Spring 2010. Calculus III for Engineers, Fall 2009. REU on Wavelets and Matrix Analysis, Summer 2009. Business Mathematics II, Summer 2008. Teaching Assistant, Texas A&M University. Honors Calculus II for Engineers, Texas A&M Spring 2007. Honors Calculus I for Engineers, Texas A&M Fall 2004. Tutor, Texas A&M University and Guilford College. Private tutoring Fall 2003 - Spring 2009. Learning commons tutor Fall 2000 - Spring 2003. 6 of 6