MATH 511: Analysis I | Credits: 4 | − Description | − Sections |
Content: An introduction to fundamental analytic concepts including: The complex number system, geometry and topology of the complex plane, analytic functions, conformal mappings, complex integration, and singularities. Texts: Function os one complex variable. John B.Conway. Springer-Verlag. 2nd edition. ISBN: 0-387-90328-3. Assessments: TBA Prerequisites: TBA |

000 | MSC: E408 | MWF 10:40am - 11:30am | David Borthwick | max 16 |

MATH 515: Numerical Analysis I | Credits: 4 | − Description | − Sections |
Content: This course covers topics in numerical linear algebra, including: matrix factorizations such as LU, QR and SVD; direct and iterative methods for solving linear systems and least squares problems; numerical approaches to solving eigenvalue problems; problem sensitivity and algorithm stability. A solid theoretical background of algorithms will be balanced with practical implementation issues. Texts: Numerical Linear Algebra and Applications, 2nd Edition. Datta, Biswa. SIAM. ISBN 978-0898716856 Assessments: TBA Prerequisites: TBA |

000 | MSC: E408 | TuTh 11:30am - 12:45pm | Michele Benzi | max 30 |

MATH 521: Algebra I | Credits: 4 | − Description | − Sections |
Content: An introduction to fundamental algebraic concepts including: Groups, homomorphisms, the action of a group on a set, Sylow theorems, group representations and characters, rings, ring homomorphisms, and basics on commutative rings. Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: E408 | TuTh 10:00am - 11:15am | Eric Brussel | max 16 |

MATH 523: Commutative Algebra and Geometry | Credits: 4 | − Description | − Sections |
Content: This is an introductory course covering topics like affine and projective varieties, Hilbert's Nullstellensatz, morphism and rational maps of varieties, dimension, smoothness, algebraic curves, intersection multiplicity and Bezout's theorem. Topics from commutative algebra like integral extensions, Noether's normalisation lemma and primary decomposition will also be treated simultaneously. Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: E406 | MW 11:35am - 12:50pm | Raman Parimala | max 16 |

MATH 531: Graph Theory I | Credits: 4 | − Description | − Sections |
Content: I will introduce basic graph-theoretical concepts, graphs, trees, networks, cycles, independence number, chromatic number, planarity and genus, paths and cycles, etc. I will emphasize "extremal" problems and counting techniques. Texts: TBA Assessments: Grades will be based on written assignments. Prerequisites: TBA |

000 | MSC: E408 | MWF 2:00pm - 2:50pm | Ron Gould | max 16 |

MATH 543: Algebraic Topology I | Credits: 4 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC E306 | TuTh 1:00pm - 2:15pm | Emily Hamilton | max 6 |

MATH 557: Partial Differential Equations I | Credits: 4 | − Description | − Sections |
Content: This course will introduce some of the basic techniques for studying and solving partial differential equations (PDE's) with special emphasis on applications. Included in the course are the following topics:
1. Basic concepts, sample problems, motivation
2. Maximum principles for elliptic and parabolic equations
3. Basic concepts of the theory of distributions
4. Method of fundamental solutions; Green's functions
5. Fourier transform
6. Variational methods, eigenvalues and eigenfunctions
7. Applications; Maxwell's equations, diffusion, geometric flows, image processing Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: W304 | TuTh 2:30pm - 3:45pm | Vladimir Oliker | max 30 |

MATH 577R: Seminar in Combinatorics | Credits: 4 | − Description | − Sections |
Content: The seminar in combinatorics is a research seminar for students and faculty. It runs weekly, and features speakers from outside Emory who come to talk about topics of interest to the Emory faculty. Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: W306 | F 4:00pm - 5:00pm | Dwight Duffus | max 30 |

001 | MSC: Other | | Ron Gould | max 30 |

MATH 577R: Seminar in Combinatorics: Network Science | Credits: 1 - 4 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: W304 | W 3:00pm - 5:00pm | Ron Gould / Vicki Hertzberg | max 30 |

MATH 578R: Seminar in Algebra | Credits: 1 - 12 | − Description | − Sections |
Content: Research topics in algebra of current interest to faculty and students. Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: E406 | Tu 3:00pm - 4:00pm | Victoria Powers | max 16 |

MATH 579R: Seminar in Analysis | Credits: 4 | − Description | − Sections |
Content: Topics include: numerical methods for linear algebra, inverse problems and PDE's Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: W306 | W 12:50pm - 1:40pm | Alessandro Veneziani | max 30 |

001 | MSC: W301 | Tu 4:00pm - 5:00pm | Vladimir Oliker | max 30 |

MATH 597R: Directed Study | Credits: 1 - 12 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |

DUFF | | | Dwight Duffus | max 999 |

DUFF | MSC: Other | | Ken Ono | max 999 |

GOUL | MSC: Other | | Ron Gould | max 999 |

NAGY | | | James Nagy | max 999 |

VENE | | | Alessandro Veneziani | max 999 |

YANG | | | Shanshuang Yang | max 999 |

MATH 787R: Topics in Combinatorics: Hypergraphs | Credits: 4 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | MSC: E406 | TuTh 8:30am - 9:45am | Vojtech Rodl | max 16 |

MATH 788R: Topics in Algebra: Modular Forms/Elliptic Curves | Credits: 4 | − Description | − Sections |
Content: TBA Texts: Introduction to Elliptic Curves and Modular Forms (Graduate Texts in Mathematics). Koblitz, N. Springer. ISBN: 0387979662.
The web of modularity: arithmetic of the coefficients of modular forms and q-series. Ono, K. American Mathematical Society. ISBN: 0821833685. Assessments: TBA Prerequisites: TBA |

000 | MSC: E406 | TuTh 11:30am - 12:45pm | Ken Ono | max 16 |

MATH 789R: Topics in Analysis: Geometric Function Theory & PDE | Credits: 4 | − Description | − Sections |
Content: While conformal mappings are homeomorphic solutions of Cauchy-Riemann systems, quasiconformal mappings can be viewed as homeomorphic solutions of Beltrami systems. In this course we will study conformal and quasiconformal mappings in Euclidean spaces from a PDE perspective. A major focus of the course will be the presentation of the rigidity theory of 1-quasiconformal mappings, from the most elementary form in the complex plane to recent developments. Texts: TBA Assessments: TBA Prerequisites: TBA |

000 | E306 | TuTh 11:30am - 12:45pm | Shanshuang Yang | max 16 |

MATH 797R: Directed Study | Credits: 1 - 12 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |

BENZ | | | Michele Benzi | max 999 |

BORT | | | David Borthwick | max 999 |

GARI | | | Skip Garibaldi | max 999 |

NAGY | | | James Nagy | max 999 |

RAMA | MSC: Other | | Raman Parimala | max 999 |

RODL | | | Vojtech Rodl | max 999 |

VENE | | | Alessandro Veneziani | max 999 |

MATH 799R: Dissertation Research | Credits: 1 - 12 | − Description | − Sections |
Content: TBA Texts: TBA Assessments: TBA Prerequisites: TBA |

ABRA | | | Aaron Abrams | max 999 |

BENZ | | | Michele Benzi | max 999 |

BORT | | | David Borthwick | max 999 |

GOUL | | | Ron Gould | max 999 |

HAMI | | | Emily Hamilton | max 999 |

NAGY | | | James Nagy | max 999 |

OLIK | | | Vladimir Oliker | max 999 |

ONO | | | Ken Ono | max 999 |

RAMA | | | Raman Parimala | max 999 |

RODL | | | Vojtech Rodl | max 999 |

VENE | | | Alessandro Veneziani | max 999 |

YANG | | | Shanshuang Yang | max 999 |