Graduate Program

Spring Term Schedule

Spring 2024

Number	Title	Instructor	Time
MATH 403-1 Theory of Probability Juan Rivera Letelier TR 9:40AM - 10:55AM
Prerequisites: MATH 471 Description: Measure-theoretic foundations of probability. The Radon-Nikodym theorem and conditional expectation. Infinite products and Kolmogorov's extension theorem. Random variables, modes of convergence, independence, and the monotone class theorem. Laws of large numbers. Characteristic functions and the central limit theorem. Martingales, inequalities, the optional sampling theorem. Introduction to stochastic processes. Location Hylan Building Room 1106B (TR 9:40AM - 10:55AM)
MATH 437-1 Algebra II Naomi Jochnowitz MW 2:00PM - 3:15PM
Prerequisites: MATH 436. Permission of instructor required for undergraduates. Description:Multilinear algebra, quadratic forms, simple and semi-simple rings and modules. Location Meliora Room 210 (MW 2:00PM - 3:15PM)
MATH 453-1 Differentiable Manifolds Stephen Kleene MW 10:25AM - 11:40AM
Prerequisites: MATH 255 and 265. Permission of instructor required for undergraduates. Description: Differentiable manifolds, mappings and embeddings, exterior differential forms, affine connections, curvature and torsion. Riemannian geometry, introduction to Lie groups and Lie algebras. Location Hylan Room 301 (MW 10:25AM - 11:40AM)
MATH 467-1 Analysis II Alex Iosevich MW 12:30PM - 1:45PM
Prerequisites: Math 471. Description: analytic functions as mappings, complex integration, series and product developments, conformal mapping and Dirichlet’s problem, Hilbert spaces, Fourier transform and Sobolev spaces. Location Meliora Room 218 (MW 12:30PM - 1:45PM)
MATH 506-1 Topics in Probability: Random Matrix Theory Arjun Krishnan TR 12:30PM - 1:45PM
Will cover convergence to the basic limiting spectral distributions like Wigner's semi-circle law, the Marcenko-Pastur law and the circular law. Time permitting, more advanced topics will include free probability, the (universal) fluctuations of the Gaussian ensembles, and Dyson Brownian motion. Location Hylan Building Room 1101 (TR 12:30PM - 1:45PM)
MATH 535-1 Commutative Algebra Naomi Jochnowitz MW 4:50PM - 6:05PM
Field theory, valuations, local rings, affine schemes. Applications to number theory and geometry. Location Hylan Building Room 206 (MW 4:50PM - 6:05PM)
MATH 565-1 Partial Differential Equation Dan Geba MW 12:30PM - 1:45PM
Linear partial differential operators with constant coefficients. Elementary solutions; elliptic, hypo-elliptic, and hyperbolic operators. Location Bausch & Lomb Room 269 (MW 12:30PM - 1:45PM)
MATH 569-1 Topics in Number Theory Steven Gonek MW 10:25AM - 11:40AM
An introduction to analytic number theory, covering arithmetical functions, sieves, the prime number theorem, the prime number theorem for arithmetic progressions, theory of the Riemann zeta function and Dirichlet L-functions. The course introduces a wide variety of methods from analysis to solve problems in number theory. No previous knowledge of number theory is necessary. The main requirement is a basic familiarity with complex function theory. Location Hylan Building Room 1106A (MW 10:25AM - 11:40AM)
MATH 591-01 PhD Readings in Math Alex Iosevich –
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MATH 591-02 PhD Readings in Math Sevak Mkrtchyan –
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MATH 591-03 PhD Readings in Math Naomi Jochnowitz –
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MATH 591-18 PhD Readings in Math – –
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MATH 591-19 PhD Readings in Math – –
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MATH 594-1 Internship Alex Iosevich –
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MATH 595-01 PhD Research in Math Juan Rivera Letelier –
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MATH 595-02 PhD Research in Math Jonathan Pakianathan –
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MATH 595-03 PhD Research in Math – –
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MATH 595-04 PhD Research in Math Alex Iosevich –
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MATH 595-05 PhD Research in Math Carl Mueller –
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MATH 595-06 PhD Research in Math Thomas Tucker –
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MATH 595-07 PhD Research in Math Allan Greenleaf –
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MATH 595-08 PhD Research in Math – –
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MATH 595-09 PhD Research in Math – –
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MATH 595-10 PhD Research in Math – –
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MATH 595-11 PhD Research in Math – –
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MATH 595-12 PhD Research in Math – –
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MATH 595-13 PhD Research in Math – –
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MATH 595-15 PhD Research in Math – –
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MATH 595-17 PhD Research in Math – –
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MATH 595-18 PhD Research in Math – –
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MATH 595-19 PhD Research in Math – –
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MATH 595-20 PhD Research in Math – –
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MATH 595-7 PhD Research in Math Carl Mueller –
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MATH 595A-1 PhD Research in Absentia Alex Iosevich –
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MATH 895-1 Cont of Master's Enrollment – –
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MATH 897-1 Master's Dissertation Naomi Jochnowitz –
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MATH 899-1 Master's Dissertation Naomi Jochnowitz –
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MATH 995-1 Cont of Doctoral Enrollment Sevak Mkrtchyan –
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MATH 997-01 Doctoral Dissertation Sevak Mkrtchyan –
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MATH 997A-1 Doct Dissertatn in Absentia Sevak Mkrtchyan –
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MATH 997B-1 Doctoral Dissertation in Absentia Abroad Sevak Mkrtchyan –
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MATH 999-01 Doctoral Dissertation Sevak Mkrtchyan –
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MATH 999A-1 Doct Dissertatn in Absentia Sevak Mkrtchyan –
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MATH 999B-1 In-Absentia Abroad Sevak Mkrtchyan –
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Number	Title	Instructor	Time
Monday
Monday and Wednesday
MATH 453-1 Differentiable Manifolds Stephen Kleene
Prerequisites: MATH 255 and 265. Permission of instructor required for undergraduates. Description: Differentiable manifolds, mappings and embeddings, exterior differential forms, affine connections, curvature and torsion. Riemannian geometry, introduction to Lie groups and Lie algebras.
MATH 569-1 Topics in Number Theory Steven Gonek
An introduction to analytic number theory, covering arithmetical functions, sieves, the prime number theorem, the prime number theorem for arithmetic progressions, theory of the Riemann zeta function and Dirichlet L-functions. The course introduces a wide variety of methods from analysis to solve problems in number theory. No previous knowledge of number theory is necessary. The main requirement is a basic familiarity with complex function theory.
MATH 467-1 Analysis II Alex Iosevich
Prerequisites: Math 471. Description: analytic functions as mappings, complex integration, series and product developments, conformal mapping and Dirichlet’s problem, Hilbert spaces, Fourier transform and Sobolev spaces.
MATH 565-1 Partial Differential Equation Dan Geba
Linear partial differential operators with constant coefficients. Elementary solutions; elliptic, hypo-elliptic, and hyperbolic operators.
MATH 437-1 Algebra II Naomi Jochnowitz
Prerequisites: MATH 436. Permission of instructor required for undergraduates. Description:Multilinear algebra, quadratic forms, simple and semi-simple rings and modules.
MATH 535-1 Commutative Algebra Naomi Jochnowitz
Field theory, valuations, local rings, affine schemes. Applications to number theory and geometry.
Tuesday
Tuesday and Thursday
MATH 403-1 Theory of Probability Juan Rivera Letelier
Prerequisites: MATH 471 Description: Measure-theoretic foundations of probability. The Radon-Nikodym theorem and conditional expectation. Infinite products and Kolmogorov's extension theorem. Random variables, modes of convergence, independence, and the monotone class theorem. Laws of large numbers. Characteristic functions and the central limit theorem. Martingales, inequalities, the optional sampling theorem. Introduction to stochastic processes.
MATH 506-1 Topics in Probability: Random Matrix Theory Arjun Krishnan
Will cover convergence to the basic limiting spectral distributions like Wigner's semi-circle law, the Marcenko-Pastur law and the circular law. Time permitting, more advanced topics will include free probability, the (universal) fluctuations of the Gaussian ensembles, and Dyson Brownian motion.
Wednesday
Thursday
Friday