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1 Contact Information Professional Appointments Department of Mathematics Phone: (***) *** - **** University of Texas at Austin freeman@math.utexas.edu Austin, TX USA University of Texas, Austin, TX, USA R. H. Bing instructor, August current. Texas A&M University, College Station, TX, USA Visiting assistant professor, September August 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
2 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, Banach spaces of bounded Szlenk index II (with E. Odell, Th. Schlumprecht, A. Zsak), Fundamenta Math. 205 (2009) Weakly null sequences with upper estimates. Studia Math. 184 (2008), no. 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, Awards National Science Foundation Research Grant, Topics in the geometry of Banach spaces, DMS , $76,443, June 2010-May Faculty Travel Grant, $1,200, University of Texas at Austin, R.H. Bing fellowship, $7,000 per year and $1,000 travel allowance per year, University of Texas at Austin, Mathematical Association of America Project NExT fellow, L.F. Guseman Prize in Mathematics Award, Texas A&M University, 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 NSF-VIGRE Fellowship, Texas A&M University, Sep 2003-Aug 2004 and Sep 2005-Aug The Learning Commons Outstanding Tutor Award, Guilford College, Given to the tutor who has contributed in the most positive, responsible, and creative ways. 2 of 6
3 Research mentored and independent study directed Honors senior thesis, Eileen Martin, University of Texas, Austin Fall Spring Eileen has received a Goldwater fellowship to work on this project. Independent study in number theory, Ashton Grimbal, University of Texas, Austin Fall Wavelets and matrix analysis REU, Eileen Martin and Ryan Hotovy, Texas A&M Summer 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 Wavelets and matrix analysis REU, Daniel Poore, Rebecca Wei and Madeline Wyse, Texas A&M Summer 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 Workshop in Analysis and Probability, Texas A&M University, Title: Shrinking and boundedly complete Schauder frames for Banach spaces, July Summer meeting of the CMS, session on Banach Spaces and Operators Between Them, University of Alberta, Schauder frames for Banach spaces, June Joint Linear Analysis/Banach space Seminar, Texas A&M University, Title: Weak Grothendieck compactness principles, May Southeastern section meeting of the AMS, Special Session on Geometry of Banach Spaces, University of Richmond, Title: Redundant frames for vector bundles, November Analysis Seminar, Virginia Commonwealth University, Title: Redundant frames on manifolds, September VOTCAM, Virginia Commonwealth University, Title: Greedy bases for Besov spaces, September Linear Analysis Seminar, Texas A&M University, Title: Embedding into L Banach spaces, April of 6
4 Workshop on Optimal Frames and Operator Algebras, San Francisco State University, Title: Embedding Banach spaces, January SUMIRFAS, Texas A&M University, Title: The universality of l 1 as a dual space, August Workshop on analysis and probability, Texas A&M University, Title: A greedy basis for ( l n p ) lq, July Analysis seminar, University of Texas, Title: The universality of l 1 as a dual space, October IMST conference, session on Banach Space Theory and Applications, University of Memphis Title: Weakly null sequences with upper estimates, May Contributed Talks 2012 Joint Mathematics Meeting, Title: Shrinking and boundedly complete frames for Banach spaces, January Joint Mathematics Meeting, Title: Embedding Banach spaces into spaces with very few operators, January Graduate student talks at Texas A&M Greedy Bases for Besov spaces. Approximation theory seminar, Oct Redundant frames on manifolds. Postdoc seminar, Oct Ramsey Theory. Graduate student recruitment seminar, March Ramsey methods in analysis. Graduate student seminar, March The universality of l 1 as a dual space.(3 talks) Banach space seminar, Oct Banach spaces with bounded Szlenk index.(2 talks) Banach space seminar, February and March Weakly null sequences with upper estimates. Banach space seminar, Sept Examples of minimality in Schlumprecht s space. Graduate student functional analysis seminar, Oct The Banach Mazur distance to the cube. Graduate student functional analysis seminar, Sept Ramsey methods in analysis. Graduate student seminar, April Frames, bases, and group representations.(2 talks) Frames seminar, Oct of 6
5 Conferences, Workshops Greedy algorithms in Banach spaces and compressed sensing, Texas A&M University, July Summer meeting of the CMS, University of Alberta, June Southeastern section meeting of the AMS, University of Richmond, November VOTCAM, Virginia Commonwealth University, September Mathfest, June 2010 and Workshop on Optimal Frames and Operator Algebras, San Francisco State University, January SUMIRFAS, Summer Informal Regional Functional Analysis Seminar, Texas A&M University, August 2007, 2008, 2009, 2010 and Workshop on analysis and probability, Texas A&M University, July 2007, 2008, 2009, 2010 and th Annual Legacy of R.L. Moore Conference, Inquiry-Based Learning in Different Contexts, Austin TX, July Joint Mathematics Meeting, January 2006, 2008, 2009, 2010 and IMST conference, International Conference on Interdisciplinary Mathematical and Statistical Techniques, University of Memphis, May Banach spaces and their applications in Analysis, a conference in honor of Nigel Kalton s 60th birthday, Miami University, Ohio, May Conferences organized Greedy algorithms in Banach spaces and compressed sensing, concentration week in the workshop on analysis and probability, Texas A&M University, July co-organized with S. Dilworth, D. Kutzarova, E. Odell and Th. Schlumprecht. Website: Panel discussion on undergraduate research, Project NExT panel at the 2011 Joint Mathematics Meeting, January co-organized with J. Jacobs, K. Roinestad, and A. Yust. 5 of 6
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 Introduction to Number Theory, Fall Differential Calculus, Fall Independent Study on Number Theory, Fall Honors Senior Thesis on Frames and Vector Bundles, Fall 2011-Spring Introduction to Number Theory, Spring Differential and Integral Calculus, Fall Discrete Mathematics, Fall Instructor, Texas A&M University. Independent study on Banach spaces, Summer REU on Wavelets and Matrix Analysis, Summer Calculus I for Engineers, Spring Calculus III for Engineers, Fall REU on Wavelets and Matrix Analysis, Summer Business Mathematics II, Summer Teaching Assistant, Texas A&M University. Honors Calculus II for Engineers, Texas A&M Spring Honors Calculus I for Engineers, Texas A&M Fall Tutor, Texas A&M University and Guilford College. Private tutoring Fall Spring Learning commons tutor Fall Spring of 6
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