Occupation: Grant Writer/ Computational Researcher, Non-paid (grants pending), Madison Area Science and Technology, 8/09-present.
Country of Citizenship: United States
PhD in Mathematics, University of California, Los Angeles, January 1996.
M.S. in Physics, University of Wisconsin, Madison, May 1989.
B.S. in Mathematics and Physics, University of Wisconsin, Madison, December 1987. Graduated with Honors, Honors Degree, Phi Beta Kappa.
Research Interests: Analysis, Mathematical Physics, Partial Differential Equations.
Thesis Topic: Local Solvability of Partial Differential Operators on R^3 Involving Heisenberg Group Operators.
Research Assistant: UW Phyisics Dept./Fermilab (1988-1989)
Adjunct Assistant Professor: University of Minnesota, Minneapolis, July - August 1997 and University of St. Thomas, February - August 1997.
Assistant Professor: Lamar University, August 1997 - May 2000.
Visiting Assistant Professor: Sam Houston State University, August 2000 - May 2001. George Washington University, August 2001 - May 2002. FAU Honors College, August 2002 - May 2003. Western Kentucky University, August 2003 - July 2004.
Visiting Instructor: CSUCI, August 2004 - May 2005. Western Illinois University, August 2005 - May 2006. UW-Oshkosh, August 2007 - May 2009.
Term Assistant Professor of Mathematics: University of Alaska, August 2012- May 2016 (Fairbanks and Anchorage).
Adjunct Instructor: UA-Anchorage Dept. of Physics and Astronomy, Jan - May 2017
Honors and Awards:
United States Department of Education
Dissertation Year Fellowship, University of California, Los Angeles, 1993-1994.
Research Assistantship, University of California, Los Angeles, January - June 1992 and Fall 1994.
Alpha Delta Pi Sorority Outstanding Preferred Professor Award, Lamar University, April, 2000.
Honorary Fellow (non-paid): UW-Madison Math Dept., 6/06 - 8/07, 6/08-8/08, Physics Dept., 6/09-8/9, 11/09-present.
(2016) Continuum Eigenmodes in Some Linear Stellar Models, ZAMP, vol 37, (130).
(2012) Local Solvability on H1 : Non-homogeneous operators, Mathematische Zeitschrift, vol 271, pp. 927-951.
(2012) Asymptotic Methods of ODE’s: Exploring Singularities of the Second Kind,
Mathematica Journal, vol 14.
(2010) Solvability and non-solvability for some partial differential operators with polynomial coefficients, Houston Journal of Mathematics vol 36, (2).
(2009) Well-posedness of Einstein's equation with redshift data, Jour. Math. Physics, 50, 113515.
(2005) A study of resolvent and spectra for some unbounded quantum potentials, Rocky Mountain Journal of Mathematics, vol. 35 (4).
(2004) Local Solvability of Some Partial Differential Operators with Complex Coefficients, Houston Journal of Mathematics, vol 30, number 2.
(2001) Local Solvability of Partial Differential Operators on the Heisenberg Group, Journal of Geometric Analysis, vol. 11, number 2.
(1998) Further Analysis of the Lippmann-Schwinger Equation, IMA Preprint Series (non-refereed).
(1993) The Density of Interfaces: A New First Passage Problem. (w/ L. Chayes), Journal of Applied Probability.
Works in Progress: Local solvability on Mathematica: Decidability and numerical solutions involving operators on H_1.
Comparative asymptotics of solutions to a second-order ordinary differential equation with parameter. (w/ S. Fulling)
Local Solvability and Non-Solvability of some non-homogeneous operators on H_1.
Seminar presentation: UIUC, UMN-Minneapolis, UW-Madison, UPE-Recife (Brazil), CAU-Keil (Germany), FAU-Honors College, WIU. Organizer for Analysis and Groups seminar: GWU.
Conference presentation: Microlocal Methods in Geometric Analysis and Mathematical Physics workshop (1997), Texas PDE Conference (1998 and 2000) SOI Conference (1999), SEARCDE (1999), WKU Math Symposium (2003).
Participant of MSRI Semi-Classical Analysis Workshop (May 2003). AMS national meetings (2001, 2003, 2008, 2009).
Member of Madison Area Science and Technology organization (Aug. 2009-present).
Referee: Electronic Journal of Differential Equations and IJMEST.
Other activities and skills:
Active member of Astronomical Societies: Houston (1999-2001), the Palm Beaches (2002-03), the Hilltoppers (2003-04), Ventura County (2004-05), Northeastern Stargazer, WI (2007 - ). Advisor for Pi Mu Epsilon Mathematics Honor Society (1999-2000).
Knowledge of French and German.
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