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Mathematics

Professor and Chair of the Department 
J. Quastel, MSc, Ph D, FRSC 

Professors and Associate Chairs 
J. Kamnitzer, B Sc, Ph D 
R. Rotman, BA, Ph D 

Professor and Associate Chair (Undergraduate) 
D. Bar-Natan, B Sc, Ph D 

University Professors 
J.G. Arthur, MA, Ph D, FRSC, FRS 
J. Friedlander, MA, Ph D, FRSC (UTSC) 
I.M. Sigal, BA, Ph D, FRSC 

Professors 
S. Alexakis, BA, Ph D 
E. Bierstone, MA, Ph D, FRSC 
I. Binder, B Sc, M Sc, Ph D (UTM) 
J. Bland, M Sc, Ph D 
A. Braverman, B Sc, Ph D 
R.O. Buchweitz, Dipl Maths, Dr Rer Nat (UTSC) 
A. Burchard, B Sc, Ph D 
G. Elliott, B Sc, Ph D, FRSC 
M. Goldstein, B Sc, Ph D (UTSC) 
M. Gualtieri, B Sc, Ph D 
V. Ivrii, MA, Ph D, Dr Math, FRSC 
L. Jeffrey, AB, Ph D, FRSC (UTSC) 
R. Jerrard, M Sc, Ph D (U), FRSC
Y. Karshon, B Sc, Ph D (UTM) 
K. Khanin, M Sc, Ph D (UTM) 
B. Khesin, M Sc, Ph D 
A. Khovanskii, M Sc, Ph D 
H. Kim, B Sc, Ph D 
S. Kudla, B A, MA, Ph D, FRSC 
R. McCann, BSc, Ph D, FRSC 
M. Marcolli, M Sc,  Ph D
E. Meinrenken, B Sc, Ph D, FRSC 
P. Milman, Dipl Maths, Ph D, FRSC 
F. Murnaghan, M Sc, Ph D 
K. Murty, B Sc, Ph D, FRSC 
A. Nabutovsky, M Sc, Ph D 
A. Nachman, B Sc, Ph D 
D. Panchenko, B Sc, M Sc, Ph D 
M. Pugh, BSc, Ph D 
J. Repka, B Sc, Ph D (U) 
R. Rotman BA, Ph D 
L. Seco, BA, Ph D (UTM) 
C. Sulem, M Sc, Dr D’Etat, FRSC 
S. Todorcevic, B Sc, Ph D, FRSC
B. Virag, BA, Ph D (UTSC) 
W.A.R. Weiss, M Sc, Ph D (UTM) 
M. Yampolsky, B Sc, Ph D (UTM) 

Associate Professors 
F. Herzig, BA, Ph D 
V. Kapovitch, B Sc, Ph D 
K. Rafi, B Sc, Ph D 
J. Scherk, D Phil (UTSC) 
J. Tsimerman, Ph D 

Associate Professors, Teaching Stream 
D. Burbulla, B Sc, B Ed, MA 
A. Igelfeld, M Sc 

Assistant Professors 
S. Aretakis, MA, Ph D (UTSC)
de Simoi, J. M Sc, Ph D (UTM) 
F. Pusateri, BS, MS, Ph D
B. Rossman, BA, MA, Ph D 
A. Stinchombe, BMath, Ph D
G. Tiozzo, MA, Ph D (UTSC)
H. Wu, MD, Ph D 
K. Zhang, B Sc, Ph D (UTM) 

Assistant Professors, Teaching Stream 
B. Galvao-Souza, Ph D 
A. Gracia-Saz, Ph D 
S. Mayes-Tang, Bc, MS, Ph D
J. Siefken. HBS, MS, Ph D

Lecturers 
S. Homayouni, B Sc, Ph D 
N. Jung, BA, MSc, Ph D 
E.A.P. LeBlanc, MA, Ph D 
J. Tate, B Sc, B Ed 
S. Uppal, M Sc 

Professors Emeriti 
M.A. Akcoglu, M Sc, Ph D, FRSC 
E.J. Barbeau, MA Ph D (U) 
T. Bloom, MA, Ph D, FRSC 
M. D. Choi, MA, Ph D, FRSC 
H.C. Davis, MA, Ph D (N) 
E.W. Ellers, Dr Rer Nat 
I.R. Graham, B Sc, Ph D (UTM) 
S. Halperin, M Sc, Ph D, FRSC 
W. Haque, MA, Ph D FRSC 
V. Jurdjevic, MS, PhD 
I. Kupka, AM, Ph D, Dr s Sc M 
J.W. Lorimer, M Sc, Ph D (U) 
J. McCool, B Sc, Ph D 
E. Mendelsohn, M Sc, Ph D (UTSC) 
K. Murasugi, MA, D Sc, FRSC 
P. Rosenthal, MA, Ph D, LLB
P. Selick, B Sc, MA, Ph D (UTSC) 
D.K. Sen, M Sc, Dr s Sc 
R.W. Sharpe, MA, Ph D (UTSC) 
S.H. Smith, B Sc, Ph D 
F. D. Tall, AB, Ph D (UTM) 

Associate Professor Emeritus 
N.A. Derzko, B Sc, Ph D 
S.M. Tanny, B Sc, Ph D (UTM) 

Associate Professors, Teaching Stream, Emiritus
A. Lam, M Sc 

Senior Lecturer Emeritus 
F. Recio, MSc, Ph D 

Introduction

Mathematics is the study of shape, quantity, pattern and structure. It serves as a tool for our scientific understanding of the world. Knowledge of mathematics opens gateways to many different professions such as economics, finance, computing, engineering, and the natural sciences. Aside from practical considerations, mathematics can be a highly satisfying intellectual pursuit, with career opportunities in teaching and research.

The department counts many of Canada's leading research mathematicians among its faculty. Our mathematics programs are flexible, allowing students to select courses based on specialization and interest. Contents range from calculus and linear algebra in the non-specialist programs to more advanced topics such as real and complex analysis, ordinary and partial differential equations, differential geometry, topology, commutative algebra, graph theory, mathematical logic, number theory, and functional analysis.

The department offers eight specialist programs in addition to the major and minor programs.

In the Mathematics, Applied Mathematics, Mathematics and Physics, and Mathematics and Philosophy specialist programs, students acquire an in-depth knowledge and expertise in mathematical reasoning and the language of mathematics, with its emphasis on rigor and precision. These programs are designed for students wishing to pursue graduate studies; most of the graduates of these programs continue on to graduate school with some of them gaining admission to the world’s best graduate schools.

The Mathematical Applications in Economics and Finance specialist program is designed to prepare students for direct entry into the world of finance. It can also serve as a gateway to an MBA or a Master of Finance degree, possibly followed by an eventual doctorate.

The Mathematics and its Applications specialist programs offer three areas of concentration: teaching, physical science, and probability/statistics. These specialist programs are designed as `enhanced double majors.' The required courses for these concentrations are almost identical for the first two years, but they diverge in the upper years. Students in these programs can also continue on to graduate studies.

The Major and Minor programs are intended for students who want to combine mathematical skills with work in other subjects. These programs require less coursework than the specialist programs, but still require the completion of some upper year mathematics courses. 

Students interested in becoming K-12 teachers should consider applying to the combined degree program --- a six-year program that leads to an Honours Bachelor of Science (HBSc) from the University of Toronto and a Master of Teaching (MT) from the Ontario Institute for Studies in Education (OISE).  The HBSc part of this program involves completing a Math Major, a Minor in Education and Society (offered by Victoria College) and a Minor in an area that would lead to a second "teachable" subject.  Please see the Victoria College website for more information.

The Professional Experience Year program (PEY: see http://engineeringcareers.utoronto.ca/students/pey/ ) is available to eligible full-time Specialist and Major students after their second or third year of study. The PEY program is an optional 12-16 month work term providing industrial experience. It gives students an opportunity to apply their skills in the context of a paid internship.

The Department of Mathematics offers introductory courses for incoming students to foster the development of mathematics skills.

PUMP (Preparing for University Mathematics Program) is a non-credit course that equips students with the necessary background knowledge required to succeed in first year mathematics courses.  It is designed for students who have not taken the appropriate high school mathematics prerequisites for university calculus and linear algebra. It is also useful for students who wish to close any existing gap between high school math and University level math courses or anyone who wishes to review high school math before attempting University level math or other science courses.

MAT138H1 (Introduction to Proofs) has been introduced into the curriculum as a preparation for MAT157Y1MAT240H1MAT247H1MAT237Y1, and other proof-oriented advanced courses. The course covers the reading and comprehension of mathematical statements, analyzing definitions and properties, formulation of arguments, and strategies for proofs.

Visit http://www.math.toronto.edu/cms/potential-students-ug/ for up-to-date information on the availability of PUMP and MAT138H1.

Some of the more advanced first- and second-year courses have "change dates" during the first few weeks of the academic year.  The "change date" occurs after the general "add date" for courses and before the "drop date" for courses.  For example, a student enrolled in MAT157Y1 can change their enrolment to MAT137Y1 or MAT135H1 at any time on or before the change date. For deadlines and further details, see http://www.math.toronto.edu/cms/change-dates

Associate Chair for Undergraduate Studies 

Enquiries and student counseling: Bahen Centre, Room 6291

Departmental Office: Bahen Centre, Room 6290 (416-978-3323)

Websites: http://www.math.toronto.edu/cms/potential-students-ug/

http://www.math.toronto.edu/cms/current-students-ug/