2Majors and Minors.Qxd.KA
Total Page:16
File Type:pdf, Size:1020Kb
MATHEMATICS Spring 2008: updates since Spring 2007 are in red Mathematics (MAT) Major and Minor in Mathematics Department of Mathematics, College of Arts and Sciences CHAIRPERSON: David Ebin DIRECTOR OF UNDERGRADUATE STUDIES: Scott Sutherland ASSISTANT TO THE CHAIR: Lucille Meci OFFICE: Mathematics P143 PHONE: (631) 632-8250 E-MAIL: [email protected] WEB ADDRESS: http://www.math.sunysb.edu Minors of particular interest to students majoring in Mathematics: Applied Mathematics and Statistics (AMS), Computer Science (CSE), Economics (ECO), Physics (PHY) Faculty Jeremy Kahn, Lecturer, Ph.D., University of Bernard Maskit, Professor, Ph.D., New York Michael Anderson, Professor, Ph.D., University California, Berkeley: Dynamical systems, University: Riemann surfaces; Kleinian groups of California, Berkeley: differential geometry. complex analysis. and deformation spaces. William Barcus, Professor Emeritus and Director Ljudmilla Kamenova, Simons Instructor, Ph.D., Dusa McDuff, Distinguished Professor, Ph.D., of Mathematics Learning Center, D. Phil, Massachusetts Institute of Technology: Cambridge University, England: Symplectic University of Oxford, England: Algebraic topology. Complex geometry. topology. Christopher Bishop, Professor, Ph.D., University Nadia Kennedy, Assistant Professor, Ed.D., Marie-Louise Michelsohn, Professor, Ph.D., of Chicago: Complex analysis. Montclair State University: Mathmatics University of Chicago: Differential geometry. education. Kingshook Biswas, Lecturer, Ph.D., University John Milnor, Distinguished Professor and of California Los Angeles: Holomorphic dynam- Marcus Khuri, Assistant Professor, Ph.D., Director of the Institute for Mathematical ics, Riemann surfaces. University of Pennsylvania: Differential Sciences, Ph.D., Princeton University: geometry, partial differential equations, and Sylvain Bonnot, Lecturer, Ph.D., Universite de Dynamical systems. general relativity. Provence, Marseille: Complex dynamics, Anthony Phillips, Professor, Ph.D., Princeton Holomorphic dynamics, several complex Alexander Kirillov, Jr., Associate Professor, University: Differential topology and applica- variables. Ph.D., Yale University: Representation theory; tions to mathematical physics. low dimensional topology; mathematical Sebastian Casalaina-Martin, Simons Instructor, physics. Olga Plamenevskaya, Assistant Professor, Ph.D., Columbia University: Algebraic geometry. Ph.D., Harvard University: Contact and sym- Valentina Kiritchenko, Simons Instructor, Ph.D., Mark de Cataldo, Assistant Professor, Ph.D., plectic geometry; low-dimensional topology. University of Toronto: Algebraic geometry. University of Notre Dame: Higher dimensional Sorin Popescu, Associate Professor, Ph.D., Irwin Kra, Distinguished Service Professor, geometry. University of Saarland, Germany: Algebraic Ph.D., Columbia University: Complex analysis; Reza Chamanara, Lecturer, Ph.D., Graduate geometry; computational algebraic geometry. Kleinian groups, Reimann surfaces; Teichmuller Center, CUNY: Moduli spaces, Kleinian groups, theory; applications to mathematical physics Corbett Redden, Simons Instructor, Ph.D., complex analysis. and number theory. Notre Dame University: Riemannian geometry; Moira Chas, Lecturer, Ph.D., Universitat algebraic topology. Paul Kumpel, Professor Emeritus, Ph.D., Autonoma de Barcelona: Topology and dynami- Brown University: Algebraic topology. Alexander Retakh, Visiting Assistant Professor, cal systems. Recipient of the State University Chancellor’s Ph.D., Yale University: Algebra; mathematical David Ebin, Professor, Ph.D., Massachusetts Award for Excellence in Teaching, 1990, physics. Institute of Technology: Global analysis; mathe- and the President’s Award for Excellence Frederic Rochon, Simons Instructor, Ph.D., matics of continuum mechanics; partial differ- in Teaching, 1990. Massachusetts Institute of Technology: Index ential equations. H. Blaine Lawson, Jr., Distinguished Professor, theory; pseudodifferential equations; K-theory. Daryl Geller, Professor, Ph.D., Princeton Ph.D., Stanford University: Differential geome- Scott Simon, Simons Instructor, Ph.D., Purdue University: Partial differential equations; har- try; topology; algebraic geometry. University: Infinite-dimensional complex analy- monic analysis; several complex variables; Claude LeBrun, Professor, D. Phil, University of Lie groups. sis; several complex variables. Oxford, England: Complex analysis; mathemati- James Glimm, Distinguished Professor, Ph.D., Jason Starr, Assistant Professor, Ph.D., Harvard cal physics; differential geometry; algebraic University: Algebraic geometry. Columbia University: Applied mathematics; geometry. numerical analysis; mathematical physics. Dennis Sullivan, Distinguished Professor, Ph.D., Krastio Lilov, Lecturer, Ph.D, University of Princeton University: Dynamical systems; Detlef Gromoll, Professor, Ph.D., University Michigan: Complex dynamics; complex geometry; partial differential equations. of Bonn, Germany: Differential geometry. variables. Scott Sutherland, Associate Professor, Ph.D., Eric Harrelson, RTG Fellow, Ph.D., University of William Linch III, RTG Fellow, Ph.D., University Boston University: Dynamical systems; root Minnesota: Algebraic topology, String field theory. of Maryland: Theoretical physics. finding algorithms; computing. Xuhua He, Simons Instructor, Ph.D., Mikhail Lyubich, Professor and Co-director of Leon Takhtajan, Professor, Ph.D., Leningrad Massachusetts Institute of Technology: the Institute for Mathematical Sciences, Ph.D., Branch of the Steklov Mathematical Institute, Representation theory, Algebraic geometry. Tashkent State University, former Soviet Union: Russia: Mathematical physics. C. Denson Hill, Professor, Ph.D., New York Dynamical systems. University: Partial differential equations; Vladimir Markovic, Associate Professor, Ph.D., Vladlen Timorin, Lecturer, Ph.D, University of several complex variables. Belgrade University: Teichmuller theory and Toronto: Differential geometry. Jerome Jenquin, RTG Fellow, Ph.D, University hyperbolic geometry; harmonic maps between Dror Varolin, Assistant Professor, Ph.D., of Texas at Austin: Differential geometry. manifolds. University of Wisconsin, Madison: Several Lowell Jones, Professor, Ph.D., Yale University: Marco Martens, Associate Professor, Ph.D., complex variables; algebraic geometry; Topology; geometry. Delft University: Dynamics. complex geometry; dynamical systems. www.stonybrook.edu/ugbulletin 271 Spring 2008: updates since Spring 2007 are in red MATHEMATICS Judith Wiegand, Lecturer and Coordinator of er field, such as physics, computer science, MAT 205 Calculus III Field Experience and Student Teaching, M.A., applied mathematics and statistics, or eco- MAT 211 Introduction to Linear Polytechnic University of Brooklyn. nomics, are common and are encouraged. Algebra Aleksey Zinger, Assistant Professor, Ph.D., Massachusetts Institute of Technology: The secondary teacher education option MAT 260 Problem Solving in Symplectic topology and enumerative algebraic is designed for students planning a Mathematics geometry. career teaching mathematics in a sec- MAT 303 Calculus IV with Applications ondary school. This option is described in Teaching Assistants detail in the “Education and Teacher MAT 305 Calculus IV Estimated number: 60 Certification” entry in the alphabetical MAT 310 Linear Algebra listings of Approved Majors, Minors, and MAT 311 Number Theory Programs. athematics is an essential ele- MAT 312 Applied Algebra ment in a wide range of human The Department of Mathematics offers MAT 313 Abstract Algebra Mactivities. It is the language of tutorial help to all undergraduate stu- MAT 316 Invitation to Modern the physical sciences, and as such is an dents in its 100-level courses in the Mathematics indispensable tool in the formulation of Mathematics Learning Center. Since the the laws of nature. In the social and bio- Center’s staff consists of faculty and MAT 318 Classical Algebra logical sciences, it plays an increasingly graduate students in mathematics as MAT 319 Foundations of Analysis important role in modeling complicated, well as undergraduate tutors, students in MAT 320 Introduction to Analysis large-scale phenomena. In addition, ma- more advanced courses can also find thematics has an aesthetic side: aware- assistance there. MAT 322 Analysis in Several Dimensions ness of the possibility of elegance and MAT 324 Real Analysis beauty in mathematical arguments has The Department encourages students to seek information and advice on appropri- MAT 331 Computer-Assisted been a significant feature of human cul- Mathematical Problem Solving ture throughout history. Today more ate mathematics courses, programs, and mathematics is being done, and more career goals. Professors in mathematics MAT 336-H History of Mathematics needs to be done, than ever before. are available as advisors in the Under- MAT 341 Applied Real Analysis graduate Mathematics Office to help MAT 342 Applied Complex Analysis The undergraduate course offerings in with these matters. Advising hours can Mathematics allow students to set up be obtained by calling the Department of MAT 351 Differential Equations: individualized programs of study consis- Mathematics. Dynamics and Chaos tent with their academic interests and MAT 360 Geometric Structures career plans. Students should consider Courses Offered in Mathematics MAT 362 Differential Geometry of majoring in Mathematics even if they do See the Course Descriptions listing in Surfaces not plan to become mathematicians or