BIMSA > 凯撒·鲁普
助理研究员 凯撒·鲁普

团队: 数论和表示论

办公室: A3-3a-307

邮箱: lupucezar@bimsa.cn

研究方向: 基础数学

个人主页: https://lupucezar.wordpress.com/

个人简介

Cezar Lupu obtained his PhD degree from the University of Pittsburgh in 2018 with a thesis on special values of Riemann zeta and multiple zeta functions under the supervision of Piotr Hajlasz and William C. Troy. Between 2018-2021, he was a postdoctoral scholar at Texas Tech University under the mentorship of Razvan Gelca and Dermot McCarthy. In 2021, he moved to China as a postdoctoral fellow at the Beijing Institute of Mathematical Sciences and Applications (BIMSA) and Tsinghua University under the mentorship of Shing-Tung Yau until 2024. His main research interests are in the areas of number theory, analysis and special functions. Most of his recent research is centered around special values of L-functions and multiple zeta functions which play an important role at the interface of analysis, number theory, geometry and physics. He taught numerous courses at Pitt and TTU both undergraduate and graduate ranging from calculus and linear algebra to abstract algebra and real analysis. Also, he coached the best undergraduate students for the William Lowell Putnam Mathematical Competition. After moving to China, he taught courses at the Qiuzhen College, Tsinghua University. Together with other colleagues from Tsinghua University, he is organizing the Shadow Putnam Mathematical Competition at the Qiuzhen College. Moreover, starting 2023, he is the academic director of the International Mathematics Summer Camp (IMSC).

研究兴趣

  • real functions, generalized derivatives, mean-value theorems, convexity, functional and probabilistic inequalities, operator inequalities, Sobolev spaces, fine properties of measurable functions, isoperimetric inequalities
  • special values of L-functions and multiple zeta functions, modular forms, special functions in p-adic setting, Mahler measure of (multivariable) polynomials
  • (generalized) Hypergeometric functions, (quantum & multiple) polylogarithms, orthogonal polynomials, summation formulas
  • convex geometry, minimal surfaces, isoperimetric inequalities for curves, symmetric spaces, inequalities for the eigenvalues of Laplacian, Chern-Simmons theory of knot invariants

教育经历

  • 2014 - 2018      University of Pittsburgh      Mathematics      Ph.D      (Supervisor: Piotr Hajlasz & William C. Troy)
  • 2012 - 2014      University of Pittsburgh      Mathematics      Master
  • 2008 - 2012      University of Craiova      Mathematics      Ph.D      (Supervisor: Vicentiu Radulescu)
  • 2008 - 2010      University of Bucharest      Mathematics      M.Sc.
  • 2004 - 2008      University of Bucharest      Mathematics      Bachelor

工作经历

  • 2024 -      Beijing Institute of Mathematical Sciences and Applications (BIMSA) & Tsinghua University      Assistant Professor
  • 2021 - 2024      Beijing Institute of Mathematical Sciences and Applications (BIMSA) & Tsinghua University      Postdoctoral Fellow
  • 2018 - 2021      Texas Tech University      Postdoctoral Scholar
  • 2012 - 2018      University of Pittsburgh      Teaching Assistant
  • 2009 - 2011      Politehnica University of Bucharest      Teaching Assistant

荣誉与奖项

  • 2025      Invited Speaker at The 2024 Annual International Congress of Chinese Mathematicians (ICCM2024), Shanghai
  • 2023      Distinguished Teaching Award, Qiuzhen College, Tsinghua University
  • 2023      Certificate of achievement-First Prize for exceptional work in organizing IMSC23, Beijing Institute of Mathematical Sciences and Applications
  • 2022      Speaker at The 9th International Congress of Chinese Mathematicians (ICCM2022), Nanjing
  • 2016      Recipient of the Elizabeth Baranger Teaching Award, University of Pittsburgh
  • 2012      Dietrich Arts & Sciences PhD Fellowship, University of Pittsburgh

出版物

  • [1] Cezar Lupu, Vlad Matei, On some rational zeta series involving ζ(2n) and binomial coefficients, submitted (2025)
  • [2] Li Lai, Cezar Lupu, Derek Orr, Elementary proofs of Zagier's formula for multiple zeta values​​ and its odd variant, accepted by Proceedings of the American Mathematical Society (2025)
  • [3] Cezar Lupu, Dongsheng Wu, Approximations by special values of the Riemann zeta function via cotangent integrals, accepted by Journal of Mathematical Analysis and Applications (2025)
  • [4] Cezar Lupu, Stefan Spataru, On an Erdos inscribed triangle inequality revisited, accepted by Elemente der Mathematik(2024)
  • [5] Cezar Lupu, How many stones can we place in empty baskets?, accepted by Elemente der Mathematik(2024)
  • [6] Cezar Lupu, Another look at Zagier’s formula for multiple zeta values involving Hoffman elements, Mathematische Zeitschrift , 231 (2022), 3127-3140
  • [7] Cezar Lupu, Derek Orr, Approximations of Apery’s constant ζ(3) and rational series representations involving ζ(2n), The Ramanujan Journal, 48, 477-494 (2019)
  • [8] Cezar Lupu, A new proof of the Finsler-Hadwiger inequality, American Mathematical Monthly, 124(2017), 73
  • [9] Cezar Lupu, Dan Schwarz, Another look at some new Cauchy-Schwarz type inner product inequalities, Applied Mathematics and Computation, 231 (2014), 463-477
  • [10] Cezar Lupu, Mean value problems of Flett type for a Volterra operator, Electronic Journal of Differential Equations, 2013(2013), article 53, 1-7
  • [11] Cezar Lupu, Vlad Matei, Arithmetic functions, prime counting function and polynomials, Mathematical Inequalities and Applications, 15(2012), 549-558
  • [12] Nicusor Costea, Daniel Alexandru Ion, Cezar Lupu , Variational like inequality problems involving set-valued mappings and generalized monotonicity, Journal of Optimization Theory and Applications, 155(2012), 79-99
  • [13] Nicusor Costea, Cezar Lupu , On a class of variational-hemivariational inequalities involving set-valued mappings, Advances in Pure and Applied Mathematics, 1(2010), 233-246
  • [14] Cezar Lupu, Tudorel Lupu, Mean value theorems for some linear integral operators, Electronic Journal of Differential Equations, 2009(2009), article 117, 1-15

Teaching

Instructor (courses taught in China):


Education and Outreach

Teaching and leadership activities (in China):

 

更新时间: 2025-05-07 17:03:43