Chun-Yen Shen Contact Information Department of Mathematics Rawles Hall Indiana University Bloomington, IN 47405

Phone: (812) 606-1962 e-mail: [email protected] http://sites.google.com/site/shencmath/

Education Ph.D. Mathematics, Indiana University, 2005-2010 – Dissertation: Explorations of Sum-Product Phenomena in Fields – Advisor: Nets Katz M.A. Mathematics, National Tsing Hua University, Taiwan 2000-2002 – Dissertation: Matrices whose norm are determined by their actions on decreasing sequences B.S. Mathematics, National Chung Hsin University, Taiwan 1996-2000 Research Interests Additive Combinatorics, Harmonic Analysis and Geometric Measure Theory Publications Chun-Yen Shen, Algebraic methods in sum-product phenomena, submitted. Derrick. Hart, L. Li and Chun-Yen Shen, Fourier analysis and expanding phenomena in finite fields, submitted. M. Garaev and Chun-Yen Shen, On the size of the set A(A+1), Math. Z. 263 (2009), no 94. Chun-Yen Shen, An extension of Bourgain and Garaev’s sum product estimate, Acta Arith. 135 (2008), no. 4, 351-356. Chun-Yen Shen, Sum product phenomenon in fields not of prime order, Rocky. Mount. J. Math, in press. Chun-Yen Shen, On the sum product estimates and two variables expanders, Publicacions Matem´atiques. 54 (2010), no. 1. Chun-Yen Shen, Quantitative sum product estimates on different sets, Electron. J. Combin. 15 (2008), no. 1. Nets Katz and Chun-Yen Shen, A slight improvement to Garaev’s sum product estimate, Proc. Amer. Math. Soc. 136 (2008), no. 137, 2499-2504. 1

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Nets Katz and Chun-Yen Shen, Garaev’s inequality in finite fields not of prime order, Online J. Anal. Comb. (2008), no. 3. Chang-Pao Chen, Hao-Wei Huang and Chun-Yen Shen, Matrices whose norm are determined by their actions on decreasing sequences, Canadian J. Math. 60 (2008), no. 3, 520-532. Chun-Yen Shen, A slight improvement to Korenblum’s constant, J. Math. Anal. Appl. 337 ( 2008), no. 1, 464-465.

Invited Talks at Conferences and Seminars 1. Harmonic analysis seminar, Indiana University Bloomington, Nov 2005 2. Prairie analysis conference, Kansas state University, Nov 2007 3. Analysis seminar, Indiana University Bloomington, Sep 2007 4. Analysis seminar, Michigan State University, Jan 2008 5. Analysis seminar, Indiana-Purdue University at Indianapolis, Jan 2008 6. Analysis seminar, St Louis University, Feb 2008 7. AMS Sectional Meeting, Indiana University Bloomington, Apr 2008 8. Clay-Fields Conference on Additive Combinatorics, Number Theory, and Harmonic Analysis, Fields institute, Canada, Apr 2008 9. Departmental Colloquium, National Tsing-Hua University, Taiwan, 2008 10. Departmental Colloquium, National Chung-Hsin University, Taiwan, 2008 11. Analysis seminar, Indiana University Bloomington, Sep 2008 12. Analysis seminar, Michigan State University , Oct 2008 13. Departmental Colloquium, National Tsing-Hua University, Taiwan, May 2009 14. Departmental Colloquium, National Taiwan University, Taiwan, May 2009 15. Departmental Colloquium, National Central University, Taiwan, June 2009 16. Analysis seminar, Michigan State University, Oct 2009 17. Departmental Colloquium, National Chiao-Tung University, Taiwan, Dec 2009 Conferences and Summer Schools Attended 1. Developments in understanding symplectic geometry and topology, SUNY Stony Brook, Oct 2006 2. Midwest several complex variables , University of Michigan Ann Arbor, May 2007 3. Summer school on Additive Combinatorics, UCLA, Catalina Island, Aug 2008 Honors and Awards Indiana University College of Arts and Sciences Dissertation Year Research Fellowship, 2009-2010 William B. Wilcox mathematics award ( outstanding graduate student ), academic year 2008-2009

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Glenn Schober memorial travel awards, Indiana University Mathematics Department, 2008 Honorary member of the Phi Tau Phi scholastic honor society of Taiwan. 2002 Ching-O medal of National Chung-Hsing University 2000 Honors of outstanding students, National Chung-Hsing University 1997, 1998, 1999 Teaching Experience Indiana University, Associate Instructor 2005-2009 Grader for the following courses : M533-534 Differential Geometry I-II (Fall 2007, Spring 2008) Assistant for the following courses (include conducting help session hours) : M118 Finite Mathematics (Fall 2005, Spring 2006 ) M119 Brief Survey of Calculus I (Fall 2006, Fall 2007, Spring 2008) Teaching Recitations for the following courses: M212 Calculus (Spring 2007, Fall 2008, Spring 2009, Summer 2009 ) References Nets Katz, Professor Department of Mathematics Indiana University Email: [email protected] Ciprian Demeter, Assistant Professor Department of Mathematics Indiana University Email: [email protected] Moubariz Garaev, Professor Department of Mathematics Universidad Nacional Autonoma de Mexico Email: [email protected] Alex Iosevich, Professor Department of Mathematics University of Missouri, Columbia Email: [email protected] Teaching Reference Greg Peters, Senior Lecturer Department of Mathematics Indiana University Email: [email protected]