Bhaskara Rao Kopparty

Research and Published Work:

I had Training in Statistics, did research in pure mathematics and mathematical economics and I am now the chair of department of computer information systems at Indiana University Northwest. I am interested in algorithms, data analysis and software development

Published scientific papers under the name: K.P.S. Bhaskara Rao

Four Books and more than 90 published papers.

Books:

1. Book: Theory of g-inverses over commutative rings, Taylor and Francis, in their series Algebra Logic and Applications. ISBN: 0-415-27248-3
2. Book: "Theory of Charges, a study of Finitely additive measures" with M. B. Rao, Academic Press, 1983. ISBN: 0 12 095780 9
3. Book: "Borel Spaces" with B. V. Rao, Published as volume CXC of Dissertationes Mathematicae, Poland in 1981.
4. Book: "Borel Spaces II" with Rae M. Shortt, Published as volume CCCLXXII of Dissertationes Mathematicae, Poland in 1998.

Research:

List of coauthors:

• From USA: R.M.Shortt, Konrad Heuvers, J.D.Reid, K.Collins, Dan Moak, Bob Shelton, M. B. Rao, D. Ramachandran, Frank Hall, Jason Li, Marina Arav, Selcuk Koyuncu, Swastik Kopparty, Surekha Rao
• From Poland: R. Pol, E. Grzegorek
• From Israel: Alan Hirschberg                                          
• From Germany: Ruediger Goebel, Ivo Duntsch
• From Italy: Achille Basile, V. Aversa, Paolo de Lucia, Candeloro, Anna Martellotti, Parlamento, Policriti, Enzo Barone, Emma D’Aniello
• From France: A. Klopotowski
• From India:  A. Maitra, B.V. Rao, A. R. Rao, A. B. Raha, M.G.Nadkarni, H. Sarwadhikari, P.S.N.V.P.Rao, R. Bapat, K.M.Prasad
• From Canada: L. Cummings

Web resources:  MATHSCINET search author name: Bhaskara Rao K.P.S.

• Google Scholar search:  K.P.S. Bhaskara Rao                  

                                   About the book “Theory of charges”:

                                 www.infography.com/content/010217152540.html

Recent publications:

2021

95. Preference reversal and strategy-proofness with more than three alternatives, Economics Letters, with Achille Basile and Surekha Rao
96. On the relation between preference reversal and strategy-proofness. Economics Letters, http://dx.doi.org/10.1016/ j.econlet.2021.109992.
97. The structure of two-valued strategy-proof social choice functions, with Achille Basile and Surekha Rao, Journal of Mathematical Economics, available online: https://www.sciencedirect.com/science/article/abs/pii/S0304406821000124

2020

92. Binary strategy-proof social choice functions with indifference, with Achille Basile Surekha Rao and K.P.S. Bhaskara Rao, Economic Theory, May 19, 2020. Available online: https://link.springer.com/article/10.1007/s00199-020-01273-1

2019

91. 91. A note on Resolvability, Acta Mathematica Hungarica, volume159, pages 669–673

2018

90. Efficient sets are very small, Bhaskara Rao Kopparty and Surekha K. Rao, Economics Bulletin, v.38, Issue 4, pages 2060-2063
91. On the ultrafilter representation of coalitionally strategy-proof social choice functions, Surekha Rao, Achille Basile and K.P.S. Bhaskara Rao, Economic Theory Bulletin, 2018, Volume 6, Issue 1, pages 1-13
92. Strictly nonzero integer valued charges, Swastik Kopparty and K.P.S. Bhaskara Rao, Proceedings of American Mathematical Society, Volume 146, Number 9, September 2018, pages 3777–3789

2015

87. A Note on Borda Method, Surekha K Rao and Bhaskara Rao Kopparty, Economics Bulletin, Volume 35, Issue 3, pages 1969-1975

2013

86. Products and sums of idempotent matrices over principal ideal domains, K.P.S. Bhaskara Rao, Combinatorial matrix theory and generalized inverses of matrices, Bapat, Ravindra B.(ed.) et al., New Delhi: Springer. 171-175 (2013). Proceedings of a conference. Refereed.
87. On Zumkeller numbers, Yuejian Peng and K.P.S. Bhaskara Rao Journal of Number Theory, Volume 133, Issue 4, April 2013, Pages 1135–1155

2010

84. May's theorem in an infinite setting, with K. Surekha Rao, Journal of Mathematical Economics, 46(2010), pp 50-55.

2009

83. Products of idempotent matrices over integral domains, Linear algebra and its applications 430(2009), pp 2690-2695.

Gave invited lectures at:

• University of Illinois, Chicago Circle
• University of Waterloo, Canada
• Georgia State University, Atlanta, Georgia
• City University of New York, New York
• Wichita State University, Wichita, Kansas
• University of New South Wales, Australia
• Australian National University, Canberra, Australia
• University of Newcastle, Newcastle, Australia
• University of Western Australia, Perth, Australia
• Flinders University of South Australia, Adelaide, Australia
• University of New England, Armidale, Australia
• Czechoslovak Academy of Sciences, Czechoslovakia
• Charles University, Czechoslovakia
• Comenius University, Czechoslovakia
• Slovak Academy of Sciences, Bratislava, Czechoslovakia
• Danish Academy of Sciences, Copenhagen
• Warsaw Technical University, Poland – Ryll-Nardzewski seminar
• Polish Academy of Sciences, Warsaw, Poland – Kuratowski-Engleking Seminar
• University of Wroclaw, Poland
• University of Udine, Udine, Italy
• University of Naples, Naples, Italy
• University of Rome, Rome, Italy
• University of Lecce, Lecce, Italy
• University of Trieste, Trieste, Italy
• University of Florence, Florence, Italy
• University of Basilicata, Potenza, Italy
• University of Perugia, Perugia, Italy
• University of Catania, Catania, Italy
• University of Pescara, Pescara, Italy
• University of Essen, Essen, Germany

Referee for professional journals:

• Positivity
• Advances in Applied Probability
• Sankhya
• Proceedings of American Mathematical Society
• Journal of Australian Mathematical Society
• Real Analysis Exchange
• Linear Algebra and its applications
• Linear and Multilinear Algebra
• Fundamenta Mathematica
• Journal of Mathematical Analysis and Applications

Reviewer for:

• Mathematical Reviews

Conferences attended:

• Presented a talk at Mathematical Abundance, Illinois State University, Bloomington-Normal, April 18–19, 2008
• Presented a talk at Spring Central Section Meeting of American Mathematical Society, Bloomington, IN, April 5-6, 2008
• Presented a talk at14th Conference of the International Linear Algebra Society, Shanghai University, Shanghai, China, July 16-20, 2007
• Presented a talk at the 16th Workshop on Matrices and Statistics, Windsor, Canada, June 1-3, 2007
• Keynote speaker, Indiana Academy of Sciences - gave a talk titled: Egyptian fraction theorem: a proof and some problems, October 7, 2005.
• The international Conference on the future of statistical theory, practice and education held in December 29, 2004 – January 1, 2005 held at Hyderabad in India and presented paper titled: Boolean and sign pattern matrices.
• Presented a talk at the retirement conference to honor Jean Bevis at Georgia State University, Atlanta, Georgia in May 2005 and gave a talk titled: generalized inverses of elements in a ring.
• Invited Speaker for the Cartemi Measure Theory meetings at Capri 1992, Ischia 1994, 1996 and Maiori 1998 in Italy.
• Invited speaker at Grado Measure theory workshop 1995 in Italy – 10 intensive lectures on some topics in measure theory – the lectures are published.