Vita for Robert Molzon

1  Education

1. B.S.Mechanical Engineering 1972, University of Kentucky
2. Ph.D.Mathematics 1977, Johns Hopkins University; thesis advisor, Bernard Shiffman

2  Academic Positions

2.1  Current

• University of Kentucky, Lexington, 1977-present , Associate Professor
• Director of the Mathematical Economics Degree Program

2.2  Past Positions

• University of Nevada, Las Vegas, 1992-1993, Full Professor
• National Science Foundation, 1990-1992, Program Director for Geometric Analysis
• Mittag-Leffler Institute,Stockholm, 1987, Visiting Researcher
• Institute Fourier, Grenoble, France, 1987-1988, Visiting Researcher
• Johns Hopkins University, 1983-1984, Visiting Associate Professor
• Max-Plank Institute, Bonn, 1981-82, Visiting Researcher
• University of Helsinki, Helsinki, 1981, Visiting Researcher
• University of Washington, Seattle, 1979-1980, Visiting Assistant Professor

3  Research Interests

• Mathematical Economics
• Geometric Analysis
• Applied Mathematics

4  Selected Invited Lectures

• Deterministic Approximation of Stochastic Dynamics, Istanbul, 2009
• Random Matching, Kos, 2007.
• Random matching and Aggregate Uncertainty, Urbana, 2007.
• Some questions in mathematical finance, Hanover, 2003.
• The Schwarzian derivative and projective structures, Baltimore, 1997.
• Characterization of complex projective space, Norman, 1994.
• Invarient differential operators associated with mappings in ${\mathrm{CP}}^n$, Toronto, 1998.
• Rellich identities and eigenvalues of the Laplacian, Philadelphia 1991.
• Godel incompleteness and legal reasoning, Wellesley, 1990.
• Bochner identity, Rellich identity and symmetry, Boston, 1990.
• Integral formulae and symmetry, Baltimore, 1988.
• Alexandrov reflection and symmetry, Grenoble, 1988.
• Application of complex analysis to a problem in continuum mechanics, Stockholm, 1987.
• Nonlinear potential theory in several complex variables, South Bend, 1985
• Potential theory in Nevanlinna theory and analytic geometry, Blazzejewko, 1982.
• Blaschke conditions for holomorphic mappings, Paris, 1982.
• Boundary values of holomorphic mappings, Wuppertal, 1982.
• Characterization of pluripolar sets, Bonn, 1981.
• Examples in value distribution theory, Joensuu, 1981.
• Capacity, Tchebycheff constant and transfinite diameter, Helsinki, 1981.
• Applications of capacity to value distribution, Seattle, 1980.
• When is a variety algebraic?, Princeton, 1979.
• Equidistribution of holomorphic maps, Norman, 1978.

5  Teaching

5.1  Courses

• Deterministic and stochastic optimization
• Stochastic processes and extreme value theory.
• Graduate mathematics in geometry and analysis.
• Undergraduate mathematics in all areas.

5.2  Curriculum Development

• Course material for calculus including online homework.
• Mathematical Economics Degree Program.
• Actuarial exams study courses.
• College Geometry Notes

6  Software Development

1. WHS_Author (with S. Gotama), The is an authoring tool for the WebClass homework system. This software was used to create the MA123 and MA109 online homework sets. It is a software program that takes the output of the text editor LYX or a $T_{E}X$ file and converts it to an xml file that is needed to display homework on the WebClass online homework system. The program is written in perl.
2. WebWork_Author (with S. Gotama), This is an authoring tool for WebWork similar to the WHS_Author tool for WebClass. It is being used nationally.
3. WebWork Knoppix (with S. Gotama), A Knoppix based live CD that allows one to set up an Apache server with the WebWork2 online homework system installed and running. Setup time from reboot to the server running and homework enabled is less than five minutes.

7  Publications

7.1  Journal Articles

1. Molzon, Robert; Deterministic Approximation of Stochastic Evolutionary Dynamics, IEEE Xplore, Game Theory for Networks 2009, (2009), 323-332.
2. Molzon, Robert; Tamanoi, Hirotaka. Generalized Schwarzians in several variables and Mobius invariant differential operators. Forum Math. 14 (2002), no. 2, 165-188.
3. Molzon, Robert; Pinney Mortensen, Karen. A characterization of complex projective space up to biholomorphic isometry. J. Geom. Anal. 7 (1997), no. 4, 611-621.
4. Molzon, Robert; Pinney Mortensen, Karen. Univalence of holomorphic mappings. Pacific J. Math. 180 (1997), no. 1, 125-133.
5. Molzon, Robert; Mortensen, Karen Pinney. The Schwarzian derivative for maps between manifolds with complex projective connections. Trans. Amer. Math. Soc. 348 (1996), no. 8, 3015-3036.
6. Molzon, Robert; Mortensen, Karen Pinney. Differential operators associated with holomorphic mappings. Ann. Global Anal. Geom. 12 (1994), no. 3, 291-304.
7. Rogers, J. and Molzon, R. Some Lessons about the Law from Self-Referential Problems in Mathematics. The Michigan Law Review 90 (1992), no. 5, 992-1022.
8. Symmetry and overdetermined boundary value problems. Forum Math. 3 (1991), no. 2, 143-156.
9. Molzon, Robert; Man, Chi-Sing Residual stress in membranes. J. Elasticity 20 (1988), no. 3, 181-202.
10. Levenberg, N.; Molzon, R. E. Convergence sets of a formal power series. Math. Z. 197 (1988), no. 3, 411-420.
11. Levenberg, N.; Molzon, R. E. Convergence sets of formal power series. Complex analysis and applications '85 (Varna, 1985), 414-417, Publ. House Bulgar. Acad. Sci., Sofia, 1986.
12. Molzon, R. Integral geometry of the Monge-Ampere operator. Contributions to several complex variables, 217-226, Aspects Math., E9, Vieweg, Braunschweig, 1986.
13. Molzon, R. E.; Patrizio, G. Meromorphic maps in the Nevanlinna class. Proc. Amer. Math. Soc. 91 (1984), no. 3, 395-398.
14. Molzon, R. E. Blaschke conditions for holomorphic mappings. Indiana Univ. Math. J. 33 (1984), no. 3, 419-433.
15. Molzon, R. E. Potential theory on complex projective space: application to characterization of pluripolar sets and growth of analytic varieties. Illinois J. Math. 28 (1984), no. 1, 103-119.
16. Molzon, Robert E. Potential theory in Nevanlinna theory and analytic geometry. Analytic functions, Bl a.zejewko 1982 (Bl a.zejewko, 1982), 361-375, Lecture Notes in Math., 1039, Springer, Berlin, 1983.
17. Molzon, R. E. Some examples in value distribution theory. Value distribution theory (Joensuu, 1981), 90-100, Lecture Notes in Math., 981, Springer, Berlin-New York, 1983.
18. Molzon, Robert Holomorphic mappings in the Nevanlinna class. Math. Z. 182 (1983), no. 1, 69-80.
19. Molzon, Robert E.; Shiffman, Bernard Capacity, Tchebycheff constant, and transfinite hyperdiameter on complex projective space. Seminar Pierre Lelong-Henri Skoda (Analysis), 1980/1981, and Colloquium at Wimereux, May 1981, pp. 337-357, Lecture Notes in Math., 919, Springer, Berlin-New York, 1982.
20. Molzon, Robert Degeneracy theorems for holomorphic mappings between algebraic varieties. Trans. Amer. Math. Soc. 270 (1982), no. 1, 183-192.
21. Molzon, Robert E.; Shiffman, Bernard; Sibony, Nessim Average growth estimates for hyperplane sections of entire analytic sets. Math. Ann. 257 (1981), no. 1, 43-59.
22. The Bezout problem for a special class of functions. Michigan Math. J. 26 (1979), no. 1, 71-79.
23. Molzon, Robert E. Sets omitted by equidimensional holomorphic mappings. Amer. J. Math. 101 (1979), no. 6, 1271-1283.
24. Molzon, Robert E. Capacity and equidistribution for holomorphic maps from ${\mathrm{CP}}^2$ to ${\mathrm{CP}}^2$. Proc. Amer. Math. Soc. 71 (1978), no. 1, 46-48.

7.2  Expository Work

1. A Brief Introduction to Calculus. Available online at http://www.ms.uky.edu/ma123/ma123.pdf
2. Notes on Geometry. A set of note for use in an undergraduate geometry course. The notes follow the "Erlangen Program" of F. Klein to study geometry through transformation groups rather than through the axiomatic approach that is typically followed in undergraduate courses. This makes it possible for the student to appreciate the relationship between geometry and other branches of mathematics.