Curriculum Vitae

ZHONGMIN SHEN

January 22, 2012

 

a.            Education

 

·         Ph.D.   (Differential Geometry), State University of New York at Stony Brook, 1990

·         M.Sc.   (Differential Geometry),  Academia Sinica,  P.R. China, 1986

·         B.Sc.    (Mathematics), University of Science and Technology of China,  P.R.China, 1983

 

b.     Academic Appointments

    

·         2009-2012, IUPUI  Department of Mathematical Sciences, Chairman

·         2005-2007, National Science Foundation of USA

Program Director for Geometric Analysis, Division of Mathematical Sciences

·         1993-present, IUPUI, Department of Mathematical Sciences                                             Assistant Prof. (1993-98),  Associate Prof. (1998-2003), Full Prof. (2003-present)

·         1991-1993, University of Michigan

        Department of Mathematics, Hildebrandt Research Assistant Professor

·         1990-1991,  MSRI at Berkeley

        Mathematical Science Research Institute, Postdoctoral Fellowship

·         1986-1990,  SUNY at Stony Brook

        Department of Mathematics, Teaching Assistant

 

 c.      Short-Term Visiting Positions

 

·         Nankai Institute of Mathematics, P.R. China, May 4-June 4, 1995; Feb 28-April 6, 2000; Dec. 12, 2000-Jan. 10, 2001;  July 20-August 10, 2001; April 27-June 15, 2002.

·         Fields Institute, Canada, May 4-30, 1997

·         I.H.E.S., France, June 4-20, 1997

·         Centre of Theoretical Sciences in Taiwan, May 1-May 30, 1998

·         Hangzhou University, P.R. China, June 1-June 30, 1998

·         University of Brasilia, Brazil, May 10-30, 1999.

·         University of Debrecen, Hungary, Jan 15-Feb 15, 2000

·         Institute of Mathematics, Academia Sinica, August 11-20, 2001.

·         Zhejiang University, Hongzhou, P.R. China, May 15-May, 30, 2002.

·         Nankai Institute of Mathematics, P.R. China, August 10-August 25, December 10-30, 2003.

·         Nankai Institute of Mathematics, P.R. China, August 1-August 25, 2004

·         Chongqing Institute of Technology, P.R. China, July 15-30, 2004

·         Zhejiang University, P.R. China, August 1-13, 2004

·         Zhejiang University, P.R. China, August 1-13, 2005

·         Center of Mathematical Sciences, Zhejiang University, P.R. China, July 1-30, 2006, May 27-June 9, July 9-July 22, 2007; June 26-July 27, 2008; December 24-January 11, 2009; June 5-June 22, December 1-December 17, 2009, June 9-une 29, 2011.

 

 

d.      Awards, Grants and Honours

 

·         Alfred P. Sloan Doctoral Dissertation Fellowship, SUNY at Stony Brook, 1989-90.

·         NSF, 1993;  CNPq* (Brazil), 1998; NSFC* (China), 1998..

·         NSF China, 2003-2006, 2006-2009 (Co-PI).

·         NSF grant for IR/D, 2005-2007.

·         NSF grant (award for research project: $125377), DMS 0810159, 09/01/2008-08/31/2011

·         NSF grant (award for conference: $20000), DMS 0804228, 06/01/2008-05/31/2009.

·         NSF grant (awarded for conference: $10000),

·         Teaching Excellence Recognition Award awarded by IUPUI in 1998.

·         Guest Professor of Mathematics, Chongqing Institute of Technology, P.R. China (2002-present).

·         Guest Professor of Mathematics, University of Science and Technology of China, P.R. China (2008-present).

·         Guanbiao Professor, Zhejiang University, P.R. China (May  2007-May 2010)

 

e.          Editorial Board for Proceedings

 

·         Member of the editorial board of Contemporary Mathematics (vol.  196) of the American Mathematical Society, Finsler Geometry, Published by the American Mathematical Society, 1996. 

·         Member of the editorial board of MSRI publications, A Sampler of Finsler Geometry, Published by University Cambridge Press, 2004.

 

f.     Editorial Board for Mathematical Journals

 

g.    Conferences and Meetings Organized

·         Co-chair of the organizing committee for the 1995 Joint Summer Research Conference on Finsler geometry (Seattle, July, 1995).

·         Member of the organizing committee for the special session on Finsler geometry in the American Mathematical Society meetings (San Diego, January 1997).

·         Member of the organizing committee for the workshop on Finsler geometry, MSRI at Berkeley, June 3-7, 2002. 

·         Member of the organizing committee for the international symposium on Finsler geometry, Nankai Institute of Mathematics, P.R. China, August, 2004.

·         Chair of the organizing committee of the “International Conference on Riemann-Finsler Geometry”, Indianapolis, February 14-16, 2008.

·         Chair of the organizing committee of the “workshop on Riemannian and Non-Riemannian geometry”, Indianapolis, August 8-9, 2009.

 

h.  Thesis supervision and mentoring:

  • Co-advisor of Ph.D. student, B. Najafi, graduated in 2005. University of Technology (Tehran Polytechnique), Iran.
  • Co-advisor of Ph.D. student, Azam, Asanjarani, (graduated in 2008). University of Technology (Tehran Polytechnique), Iran.
  • Mentor of Ph.D. students, Lili Zhao (graduated in 2006),  Yaoyong Yu, and Benling Li (graduated in 2007),  Zhejiang University, Hangzhou, P.R. China.

i.   Service to the publishing industry:

 

a.      Refereeing for professional journals

 

  • Journal of Differential Geometry
  • Journal of the London Mathematical Society
  • Global Analysis and Applications
  • Houston Journal of Mathematics
  • International Journal of Mathematics and Mathematical Sciences
  • Journal of Physics A
  • Mathematische Annalen
  • Mathematical Reviews
  • Pacific Journal of Mathematics
  • Indiana University Mathematics Journal
  • Illinois Journal of Mathematics
  • Reports on Mathematical Physics
  • Bulletin/Proceedings/Transaction of the American Mathematical Society
  • Acta Mathematica Sinica English Series
  • Canadian Math. Bulletin
  • Archiv der Mathematik
  • Journal of the Australian Mathematical Society
  • Central European Journal of Mathematics
  • Chinese Annuals of Mathematics
  • Communication in Analysis and Geometry
  • Journal of Geometric Analysis
  • Indian Journal of Pure and Applied Mathematics
  • International Journal of Mathematics
  • Iranian Journal of Science and Technology
  • Israel Journal of Mathematics
  • Journal of Zhejiang University Science (A&B)
  • Science in China
  • Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
  • Annals of Global Analysis and Geometry
  • Publications Mathematicae, Debrecen
  • Acta Mathematica Scientia
  • Calculus of Variation and Partial Differential Equations
  • Journal of Geometry and Physics
  • Proceedings of Indian Academy of Sciences, India
  • Journal of Optics A: Pure and Applied Optics
  • Advances Studies in Pure Mathematics, Japan
  • Proceedings of the Royal Society A
  • Beitraege zur Algebra und  Geometrie,  http://www.emis.de/journals/BAG/
  • Geometria Dedicata
  • Balkan Journal of Geometry and its Applications, http://www.mathem.pub.ro/bjga

 

 b. Refereeing for book publishers

 

  • World Scientific
  • Kluwer Academic Publishers

     

 c. Reviewing for Mathematical Reviews

 

·         Reviewer for Math Review since 1992.

·         Reviewer for Zentralblatt MATH since 2002.

 

j.           Services to the Department

 

·         Colloquium Committee, 1993-2000.

·         Technology Committee, 2000-2003

·         Textbook Search Committee, 1996-2005

·         Graduate Committee, 2000-2009

·         Undergraduate Committee, 2000-2009

·         Undergraduate Advisor, 1998-2005.

·         Promotion Committee (2004-present)

 

k.     Invited Presentations at Professional Meetings

 

·         “Volume growth and finite topological type”, Summer Institute on Differential Geometry,

        University of California at Los Angeles, 1990.

·         “Riemannian manifolds with positive Ricci curvature”, The American Mathematical Society Meeting, Philadelphia, 1991.

·         “Convergence of Riemannian submanifolds”, The American Mathematical Society meeting, Knoxville, 1993.

·         “Some Problems in Finsler Geometry”, Joint Summer Research Conference on Finsler Geometry, Seattle, July 1995.

·         “Complete Riemannian manifolds with nonnegative Ricci curvature”, Texas Geometry/Topology conference, Houston, February 1996.

·         The American Mathematical Society meeting, Detroit, April 1996. Invited but did not attend.

·         “The non-linear Laplacian for Finsler manifolds”, Finsler Laplacian Conference, University of Alberta, August 20-22, 1997.

·         "Levy Concentration of Finsler MM Spaces", International Conference on Finsler Geometry, University of Alberta, August 13-20, 1998.

·         “On Projectively Related Einstein Metrics”, The 11th National Conference of Finsler and Lagrange Geometry in Romania, Feb. 17-20, 2000.

·         “Geometric meanings of curvatures in Finsler geometry”, the 20th Winter School “Geometry and Physics”, Srni, Czech, Jan. 2000.

·         “Projective Geometry of Finsler Spaces”, Jing-Jing Workshop on Differential Geometry, P.R. China, March 3-8, 2000.

·         “Finsler Metrics of Constant Curvature”, Colloquium on Differential Geometry, Debrecen, Hungary, July 25-30, 2000.

·         “Finsler Metrics of Constant Curvature”, The 1st National Conference  on Finsler Geometry, P.R. China, Dec. 27-28, 2000.

·         “Geodesics and Ricci Curvature”, The American Mathematical Society Meeting, Hoboken, New Jersey, April, 2001.

·         “Classification of Projectively Flat Finsler Metrics of Constant Curvature”, The 2nd National Conference on Finsler Geometry, P.R. China, August 1-2, 2001.

·         “Finsler Metrics of Constant Curvature”, The American Mathematical Society Meeting, Ann Arbor, March 2002.

·         “Finsler Geometry”, Six Lectures at the 3rd National Conference on Riemann-Finsler Geometry, Zhejiang University, Hongzhou, P.R. China, May 22-May 29, 2002.

·         “Schur Type Theorems --- Classification and Examples”, Workshop on Finsler Geometry, MSRI, June 3-7, 2002.

·         “Navigation on Riemannian Spaces”, The American Mathematical Society meeting, Bloomington, Indiana, April 2003.

·         “Information Geometry, a Finslerian approach”, The annual conference on mathematical psychology, Ann Arbor, Michigan,  July 29-August 2, 2004.

·         “On the S-curvature and its relationship with other quantities”,  International Symposium on Finsler Geometry, Tianjin, P.R. China, August 10-15, 2004.

·         “Some Problems in Finsler Geometry” China National Conference on Finsler Geometry, Chongqing, China, July18-23, 2005.

·         “Finsler metrics of scalar flag curvature”, The international workshop on Finsler geometry, CIRM at Marseille, France, November 14-18, 2005.

·         “Randers metrics of scalar flag curvature”,  Texas Geometry and Topology Conference, University of Houston, Houston, February 17-19, 2006.

·         “Some rigidity theorems in Finsler geometry”,  The American Mathematical Society Meeting, University of Notre Dame, South Bend, April 7-9, 2006.

·         “Finsler geometry, motivations and results”,  An international workshop on Finsler geometry and semi-Riemannian geometry, Potosi, Mexico,  May 23-28,2006.

·         “Finsler metrics of scalar flag curvature”,  National Conference on Finsler Geometry, Xiamen, P.R. China, July 11-13, 2006.

·         “Geometry of (α, β)-metrics”,  International Conference on “Finsler Extension of Relativity Theory”, Cairo, Egypt, November 4-10, 2006.

·         “Geometric meanings of curvatures in Finsler geometry”,  Conference on Integral Geometry, Geometric Inequalities, Finsler Geometry  and Convexity Related Topics, Tianjin, P.R. China,  December 26-28, 2006.

·         “Finsler metrics of weakly isotropic flag curvature” , National Conference on Finsler Geometry, Hangzhou, P.R. China, July 17-20, 2007.

·         “Finsler metrics of scalar flag curvature”, the 1030th AMS meeting, DePaul University, Loop Campus, Chicago, Illinois, October 5-6, 2007.

·         “Finsler Metrics of Scalar Flag Curvature”, the fourth International Congress of Chinese Mathematicians, Hangzhou, December 17-21, 2007.

·         “Projectively flat metrics”, National Conference on Finsler Geometry, Wu-Yi-Shan, China, July 12-13, 2008.

·         “Manifolds with nonnegative Ricci curvature”, Workshop on Advanced Differential Geometry, Hangzhou, China, December 25-26, 2008.

·         “Projectively flat metrics”, AMS meeting, Urbana-Champaign, Illinois, March, 2009.

·         “Geometric Meanings of Curvatures in Finsler Geometry”,  the 1049th AMS meeting, San Francisco, CA, April 25-26, 2009.

·         “Finsler metrics with special non-Riemannian curvature properties”, Workshop on Finsler Geometry and Its Applications, Debrecen, Hungary, May 24-29, 2009.

·         “Geometric meanings of curvatures in Finsler geometry”, International Conference on Finsler Geometry, Fuzhou, China, June 13-14, 2009.

·         “Ricci curvature in Finsler Geometry”,  Finsler Extensions of Relativity Theory, Bauman Moscow State Technical University and Research Institute of Hypercomplex Systems in Geometry and Physics in Moscow and Fryazino, September 27-October 2, 2009.

·         “Some non-Riemannian curvatures in Finsler Geometry”, International Symposium on Global Finsler Geometry and Related Topics, Tongji University, Shanghai, China,  June 17, 2010

·         “Projectively Flat Metrics”, International Conference on Finsler Geometry, Chern Institute of Mathematics, Tianjin, China, June 21, 2010

·         “ Projectively flat metrics with constant flag curvature, Differential Geometry and Its Application  workshop, August 24-27, 2010.

·         “Some non-Riemannian curvatures in Finsler Geometry”, AMS meeting, University of Notre Dame, November 05-07, 2010.

·         “Finsler metrics of constant Ricci curvature”, International Conference on Riemann-Finsler geometry and related topics, June 24, 2011.

·         “Geometric Meanings of Curvatures in Finsler Geometry”, Chern Centennial Conference, Chern Institute of Mathematics, Tianjin, China, Oct 23-28, 2011.

 

 l.    Invited Lectures

 

*  University of Illinois at Urbana-Champaign, February 1990.

*  Mathematical Science Research Institute, February 1991.

*  University of California at Los Angeles, March 1991.

*  University of California at Santa Barbara, March 1991.

*  University of California at Berkeley, April 1991

*  University of South Carolina, April 1991.

*  Michigan State University, October 1992.

*  University of Illinois at Urbana-Champaign, November 1992.

*  Dartmouth College, January 1993.

*  University of California at Los Angeles, February 1993.

*  University of South California, February 1993.

*  University of Indiana at Bloomington, April 1993.

*  University of Illinois at Urbana-Champaign, October 1993.

*  University of Houston, February 1994.

*  University of Illinois at Urbana-Champaign, April 1994.

*  Tulane University, October 1994.

*  University of Illinois at Urbana-Champaign, February 1995.

*  University of Houston, March 1995.

*  Nankai Institute of Mathematics, P.R.China, May 1995.

*  Hangzhou University, P.R. China, June 1995.

*  Fudan University, P.R.China, June 1995.

*  University of Chicago, January 1996.

*  University of Wisconsin at Madison, September  1996.

*  University of Illinois at Urbana-Champaign, October 1996.

*  C.M.L.A., E.N.S. de Cachan, France,  June, 1997.

*  Purdue University, September 1997.

*  University of Notre-Dame, March 1998.

*  University of Michigan, April, 1998.

*  National Chung Cheng University, May, 1998

*  Institute of Mathematics, Taiwan, May,  1998.

*  University of Taiwan, May, 1998.

*  Hangzhou University, P.R. China, June, 1998.

*  Johns-Hopkins University, October 1998.

*  University of Illinois at Urbana-Champaign, October 1998.

*  University of Brasilia, May, 1999.

*  University of Illinois at Urbana-Champaign, October 1999.

*  Debrecen University in Hungary, February, 2000.

*  Nankai Institute of Mathematics in P.R. China, March, 2000.

*  Zhejiang University in P.R. China, April, 2000.

*  Fudan University in P.R. China, April, 2000.

*  University of Science and Technology of China, July, 2001.

*  Institute of Mathematics, Academia Sinica, P.R. China, August, 2001.

*  Ohio State University at Columbus, November, 2001.

*  Nankai Institute of Mathematics, May, 2002.

*  Chongqiang Institute of Technology, May, 2002.

*  University of Alberta, Edmonton, Canada, December, 2002.

*  University of Wisconsin, Madison, September, 2003.

*  University of Notre Dame, October, 2003.

*  Nankai Institute of Mathematics, P.R. China, December, 2003.

*  Beijing University, Beijing,  P.R. China, January, 2004.

*  Chongqing Institute of Technology,  Chongqing, P.R. China, January, 2004.

*  University of Rochester, New York, April, 2004.

*  Zhejiang University, Hongzhou, P.R. China, August, 2004.

*  Zhejiang University, Hangzhou, P.R. China, August, 2005.

*  “Finsler Geometry”, Center of Mathematical Sciences, Zhejiang University, P.R. China, July, 2006.  

*  “On Landsberg Spaces”, Center of Mathematical Sciences, Zhejiang University, P.R. China, October 25, 2006.

*  “Some Global Rigidity Theorems in Finsler Geometry”, Beijing University, December 25, 2006.

*  “Geometric Meanings of Curvatures in Finsler Geometry”, Beijing Capital Normal University, December 26, 2006

*  “Finsler Geometry”, University of Texas at San Antonio, March 28, 2007

*  “Finsler Geometry and Its Applications”, Center of Mathematical Sciences, Zhejiang University, P.R. China, May 29, 2007.

*  “Finsler Metrics of Weakly Isotropic Flag Curvature”, Center of Mathematical Sciences, Zhejiang University, P.R. China, June 5, 2007.

*  “Some global results in Finsler geometry”, University of Notre Dame, October 18, 2007.

*  “Ricci curvature in Finsler geometry”, University of California, Santa Barbara, November 2, 2007.

*  “Ricci curvature in Finsler geometry”, Lehigh University, November 16, 2007.

*   “Some Global Rigidity Theorems in Finsler Geometry”, University of Oklahoma , April 10, 2008.

*  “Some global rigidity theorems in Finsler geometry”, New York Polytechnic University, April 22, 2008.

*  “Ricci-curvature related problems in Finsler geometry”, Rutgers University, April 24, 2008.

*  “Projectively Flat Metrics in Riemann-Finsler Geometry”, Nanjing University, China, July 17, 2008

*  “Finsler Geometry”, University of Science and Technology of China, July 18, 2008.

*  “Some problems in Finsler geometry”, Zhejiang University, China, July 24, 2008

*  “Finsler Geometry and Its Applications”, University of Dayton, October 10, 2008

*  “Projective Finsler Metrics and Dually Flat Metrics”, Zhejiang University, December 29,30, 2008; January 8, 2009.

*  “Some Problems in Finsler Geometry”, Chonqing Institute of Technology, January 2, 2009.

*  “Geometry of Randers Spaces” five lectures, Zhejiang University, June 8-11, 2009.

*  “Ricci curvature in Finsler geometry”, SYSY, Guanzhou, P.R. China, December 7, 2009

*  “Curvatures in Finsler Geometry”, Tongji University, Shanghai, China, December 15, 2009.

*  “Two-dimensional projectively flat Finsler metrics”, Zhejiang University, June 15, 2010.

*  “Two-dimensional projectively flat Finsler metrics”, Beijing University, June 25, 2010.

*  “Ricci curvature in Finsler geometry”, Notre Dame University, March 11, 2011.

*  “Geometric meanings of curvatures in Finsler geometry”, Cornell University, April 25, 2011.

*  “ Ricci curvature in Finsler geometry”, Chongqing University of Technology, June 18, 2011.

*  “Curvatures in Finsler geometry”, Ningbo University, June 21, 2011.

*  “An Introduction to Finsler Geometry”, Indiana University at Bloomington, July 13, 2011.