Andrew P McHugh, Ph.D.

mchugh_andrew1.jpg
Assistant Teaching Professor of Mathematical Sciences, School of Science, Engineering, and Technology
Office Phone
Office Location
Olmsted Building, W231D
W231D OLMSTED BLDG
PENN STATE HBG
MIDDLETOWN, PA 17057
Biography

Andrew has taught Mathematics at a variety of colleges and universities in the United States. He also taught Mathematics at Zayed University in Abu Dhabi, UAE before coming to Penn State-Harrisburg.

Research Interests

Complex Geometry

Mathematical Physics

Supergeometry

Non-Kahler manifolds

Publications

"A Newlander-Nirenberg Theorem for Supermanifolds", Journal of Mathematical Physics 30(5) (1989), pp. 1039-42.

"The Space of Super Light Rays for Complex Conformal Spacetimes", Journal of Geometry and Physics, 13 (1994), pp. 16-50.

"The Space of Super Light Rays for D=10, N=1 Superconformal Structures", Journal of Geometry and Physics, 46 (2003) 6-20.

"Holomorphic Chern-Simons and BF Theories on Super Twistor Spaces", Journal of Pure and Applied Mathematics, Volume 42 No.2 2008, 175-181 (Proceedings of The IV International Conference on Applied Mathematics and Computing)

Review of Sergey A. Merkulov, Moduli of Compact Legendre Submanifolds of Complex Contact Manifolds, Mathematical Research Letters 1, 717-727 (1994), in Mathematical Reviews.

Review of Luke Hodgkin, The Complex Structure of Supermoduli Space, Classical and Quantum Gravity 12, 2135-2148, (1995), in Mathematical Reviews.

An Introduction to Modern Mathematics and its Applications, Linus Publications, 2009

Education

B.A., M.A., Ph.D. (Stony Brook)

Course Schedule
MATH 004
MATH 021