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Cv Cezar Lupu.Pdf CEZAR LUPU [email protected] Personal Data Address (Office): 301 Thackeray Hall, University of Pittsburgh, Pittsburgh, PA-15260, USA Phone: +1 412 2738431 (US), +40726 350 530 (RO) Citizenship: Romanian & United States F1 Visa status Place of Birth: Constanta, Romania E-mail: [email protected], [email protected] Professional network: LinkedIn, Google Scholar, MathSciNet Professional & Teaching Experience Aug 2015-Present Research & Teaching Fellow, University of Pittsburgh, Pittsburgh, PA, USA, Department of Mathematics Winner of the 2016 Elizabeth Baranger Excellence in Teaching Award Pitt Team ranked 24th nationally in the 2015 Putnam Competition Jun-Jul 2017 Academic Instructor, Mathematical Association of America, host: Carnegie Mellon University, Pittsburgh, PA, USA Mathematical Olympiad Summer Program USA #4 at the IMO Jun-Jul 2016 Academic Instructor, Mathematical Association of America, host: Carnegie Mellon University, Pittsburgh, PA, USA Mathematical Olympiad Summer Program USA #1 for the second consecutive time at the IMO Jun-Jul 2015 Academic Instructor, Mathematical Association of America, host: Carnegie Mellon University, Pittsburgh, PA, USA Mathematical Olympiad Summer Program USA #1 for the first time in 21 years at the IMO Aug 2012-May 2015 Research/Teaching Assistant, University of Pittsburgh, Pittsburgh, PA, USA Department of Mathematics Oct 2010-Dec 2011 Teaching Assistant, Politehnica University of Bucharest, Bucharest, Ro- mania Department of Mathematical Methods and Models Feb 2010-Jun 2010 Visiting Ph.D. Student Researcher, Central European University (CEU), Budapest, Hungary Department of Mathematics and its Applications Oct 2009-Feb 2010 Teaching Assistant, Politehnica University of Bucharest, Bucharest, Ro- mania Department of Mathematical Methods and Models Sep-Nov 2008 High School Teacher, International Computer High School of Bucharest, Bucharest, Romania Department of Mathematics General Research Interests Real Analysis real functions, generalized derivatives, mean-value theorems, convexity, functional and probabilistic inequalities Geometric Analysis Sobolev spaces, fine properties of measurable functions Functional and Nonlinear Analysis geometry of function spaces, linear and nonlinear operators, operator inequalities, variational and hemivariational inequalities, topological methods and degree theory Nonlinear PDEs spectral theory for nonlinear operators, calculus of variations semilinear and quasilinear elliptic equations Harmonic Analysis Fourier series and integrals, maximal functions, singular and oscillatory integrals, Littlewood-Paley theory Linear Algebra positive-definite matrices, matrix equations and inequalities Analytic Number Theory arithmetic functions, distribution of primes, Riemann zeta and L-functions, multiple zeta values Mathematics Education problem solving, history of mathematics Education Aug 2012- Present Ph.D. Program in Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania, USA Thesis: Analytic Aspects of the Riemann Zeta and Multiple Zeta Values I completed my overview on October 26, 2017 and I expect to defend in June, 2018 Advisors: Dr. Piotr Hajlasz and Emeritus William C. Troy Committee: Dr. Thomas Hales (U. Pittsburgh), Dr. Camil Muscalu (Cornell U.), Dr. George Sparling (U. Pittsburgh) Jan 2012-Dec 2014 Masters of Arts of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania, USA Oct 2008-Dec 2011 Ph.D. Program in Mathematics (Nonlinear Analysis & PDEs), University of Craiova, Craiova, Romania Thesis: Qualitative Analysis of Some Classes of Nonlinear Problems This thesis was approved by the committee for public defense on March 14, 2014 Advisor: Dr. Vicentiu Radulescu Committee: President: Dr. Dumitru Busneag (U. Craiova), Members: Dr. Sorin Micu (U. Craiova), Dr. Marius Radulescu (IMSA), Dr. Victor Tigoiu (U. Bucharest) Oct 2008-Jun 2010 Master Degree in Algebra and Number Theory, University of Bucharest Bucharest, Romania Thesis: Landau and Hardy-Littlewood type inequalities for the prime counting function π(x) (in Romanian) Advisor: Dr. Alexandru Gica Oct 2004-Jun 2008 Bachelor Degree in Mathematics and Computer Science, University of Bucharest, Bucharest, Romania Thesis: Topological Degree for Condensing Maps (in Romanian) Advisor: Dr. George Dinca Publications (https://lupucezar.wordpress.com/publications/) Research Papers 7 papers published in journals such as Electronic Journal of Differential Equations, Advances in Pure and Applied Mathematics, Mathematical Inequalities and Applications, Journal of Optimization Theory and Applications Applied Mathematics and Computation Elementary & Expository Papers 12 papers published in journals such as Crux Mathematicorum, Gazeta Matematica (A-series), Mathematical Reflections Mathematical Gazette American Mathematical Monthly Elemente der Mathematik Proposed Problems in Journals more than 70 problems published in journals such as American Mathematical Monthly, College Mathematics Journal, Mathematics Magazine, Electronic Journal of Differential Equations, Gazeta Matematica (A-series), Papers and preprints 1. C. Lupu, Geodesics in the Heisenberg group revisited and the isoperimetric deficit for curves in R2n, in preparation 2. C. Lupu, D. Orr, A note on some rational zeta series representations of Glasser type for Apery and Catalan constants, in preparation 3. C. Lupu, Another look at the evaluation of some multiple zeta and special Hurwitz zeta values, in progress 4. C. Lupu, D. Orr, Approximations of Apery’s constant ζ(3) and rational series representations involving ζ(2n), submitted. 5. C. Lupu, D. Schwarz, Another look at some new Cauchy–Schwarz type inner product inequalities, Applied Mathematics and Computation, 231 (2014), 463–-477. 6. C. Lupu, Mean value problems of Flett type for a Volterra operator, Electronic Journal of Differential Equations, 2013 (2013), No. 53, 1–7. 7. N. Costea, D. Ion, C. Lupu, Variational-like inequality problems involving set-valued maps and generalized monotonicity, Journal of Optimization Theory and Applications, 155 (2012), 79– 99. 8. C. Lupu, V. Matei, Arithmetic functions, prime counting function and polynomials, Math- ematical Inequalities and Applications, 15 (2012), 549–558. 9. N. Costea, C. Lupu, On a class of variational-hemivariational inequalities involving set valued mappings, Advances in Pure and Applied Mathematics, 1 (2010), 233–246. 10. C. Lupu, T. Lupu, Mean value theorems for some linear integral operators, Electronic Jour- nal of Differential Equations, 2009 (2009), No. 117, 1–15. Conferences, Workshops, Summer Schools Jan 2018 Joint Mathematics Meeting of the American Mathematical Society and Mathematical Association of America, San Diego, CA, USA Conference organized by the American Mathematical Society and Mathematical Association of America Nov 2017 AMS-Western Sectional Meeting, Riverside, CA, USA Conference organized by the University of California Riverside-Department of Mathematics Oct 2017 Northeastern Analysis Meeting-NEAM’2, Albany, NY, USA Conference organized by the SUNY-University at Albany Sep 2017 Joint International Meeting of the German Mathematical Society and the Romanian Mathematical Society, Constanta, Romania Conference organized by the Romanian Mathematical Society in partenership with the Simion Stoilow Institute of Mathematics of the Romanian Academy Jun 2017 The 3rd Annual Graduate Student Conference in Algebra, Geometry and Topology, Philadelphia, PA, USA Conference organized by Temple University-Department of Mathematics May 2017 7th Upstate New York Number Theory Conference, Binghamton, NY, USA Conference organized by the SUNY-University at Binghamton-Department of Mathmatics Mar 2017 The 33rd Southeastern Analysis Meeting-SEAM’17, Knoxville, TN, USA Conference organized by the University of Tennessee Knoxville-Department of Mathematics Mar 2017 Analysis on Metric Spaces Conference, Pittsburgh, PA, USA Conference organized by the The Math Research Center (MRC) at the University of Pittsburgh Jan 2017 The 2017 AMS & MAA Joint Mathematics Meeting, Atlanta, GA, USA Conference organized by the American Mathematical Society and Mathematical Association of America Oct 2016 NEAM-1st Northeastern Analysis Meeting, Brockport, NY, USA Conference organized by the National Science Foundation and SUNY-College at Brockport Mar 2015 PDEs and Free Boundary Problems, Pittsburgh, PA, USA Conference organized by the Mathematics Research Center of the University of Pittsburgh Jul 2012 Calculus of Variations and PDEs, Szczawnica, Poland Conference organized by Institute of Mathematics of the Polish Academy of Sciences May 2012 Workshop for Young Researchers in Mathematics, Constanta, Romania Conference organized by IMAR and Ovidius University of Constanta Aug 2010 Scuola Matematica Interuniversitaria in PDEs, Cortona, Italy Summer School sponsored by the Scuola Normale Superiore di Pisa Jul 2010 Optimal Control and PDEs, Cortona, Italy Summer School sponsored by the Scuola Normale Superiore di Pisa Jun 2010 Variable Exponent Analysis Conference, Oulu, Finland Conference organized by Oulu University Oct 2008 The XII-th Conference of the Romanian Mathematical Society, Bacau, Romania Conference organized by Romanian Mathematical Society and University of Bacau Jul 2008 The 22-nd Conference on Operator Theory, Timisoara, Romania Conference organized by West University of Timisoara Jul 2007 Characteristic p-methods in Algebraic Geometry, Drobeta-Turnu Severin, Romania Summer School organized by the Romanian Mathematical
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