We recommend that everyone get a
Ventra Card for Chicago public transit.

Talks and forums take place in **Eckhart 206**. Talks (excluding research talks and forums) will consist of a half-hour lecture followed by a half hour problem session per one hour.

**Please don't skip everything! :-(**

Day

Morning

Afternoon

Evening

Sunday

15 Sep

15 Sep

Pre-WOMP brunch

Faidon Andriopoulos, Konstantinos Psaromiligkos

Faidon, Kostas, Nikiforos and Jason are going to kindly host the welcome brunch at their place ( 5221 S Kimbark Ave ). Non-first years please sign up here.

Monday

16 Sep

16 Sep

Welcome and Tour of Hyde Park

Pallav Goyal

Meet in front of Eckhart.

Linear Algebra

Ishan Banerjee and Joshua Mundinger

- Systems of equations, matrix equations, row reduction
- Rank-Nullity theorem
- Writing the matrix of a linear transformation, change of basis
- Eigenvalues, eigenvectors, characteristic and minimal polynomial
- Jordan canonical form, classification of matrices in SL(2,R) by trace

- Cayley-Hamilton theorem
- Dual spaces, dual transformations
- Inner product spaces and Hermitian spaces
- Diagonalization of Hermitian/symmetric matrices. Unitary matrices, Rayleigh's theorem, singular value decomposition
- Multilinear algebra: symmetric and exterior powers, determinants

Tuesday

17 Sep

17 Sep

Real Analysis

Mariya Sardarli

- Convergence of sequences and series
- Continuity and differentiability
- Taylor series, Stone-Weierstrass theorem
- Contraction mapping theorem, proof of existence and uniqueness of ODEs
- Riemann integrals, fundamental theorem of calculus

Topology

Colin Aitken

- Point-set topology, metric and topological spaces, connectedness, compactness, quotient spaces, quotient topology

- Definition of manifolds (e.g. spheres, torus)
- Lifting criterion, covering spaces and deck groups
- Computing fundamental groups, Van Kampen's theorem
- Galois correspondence of covers

Improv games in the Barn

Claudio Gonzáles and Eric Stubley

First years only.

Dinner at Medici

Pallav Goyal and Billy Lee

For more information, see the Medici website and map. Meet in the first year office at , or at the restaurant at .

Wednesday

18 Sep

18 Sep

Forum on Life in Chicago

Colin Aitken and Ishan Banerjee

Commutative Algebra

Thomas Hameister

- Groups, rings and modules
- Action of groups
- Prime ideals, localization

Galois Theory and Number Theory

Aaron Slipper

- Irreducible polynomials
- Galois correspondence
- Normal basis theorem
- Dedekind domains, rings of integers, splitting of primes, roots of unity
- p-adic numbers

Afternoon Tea with AWM

Mariya Sardarli

First years only. Meet in the main Quad outside Eckhart if weather permits, otherwise in the Barn. Sponsored by the Association for Women in Mathematics (AWM).

Thursday

19 Sep

19 Sep

Complex Analysis

Meg Doucette and Minh-Tam Trinh

- Complex plane and Riemann sphere
- Cauchy-Riemann equations, analytic implies C infinity
- Cauchy integral formula, connection with Stokes's theorem
- Liouville's theorem
- Singularities, meromorphic functions, Laurent series
- Computation of integrals using residues

- Open mapping theorem
- Mobius transformation on the Riemann sphere
- SL(2,R) and conformal transformation of the disk. The hyperbolic metric: elliptic, parabolic and hyperbolic isometries
- Schwartz's lemma: holomorphic maps on the disk contract the hyperbolic metric
- Harmonic functions

Trip to the Art Institute of Chicago

Minh-Tam Trinh

Meet at the #6 bus stop at Stony Island and 57th Drive. Admission is free with UChicago student ID. Bus fare is $2.25 each way. See the museum website for more information.

Friday

20 Sep

20 Sep

Representation Theory of Finite Groups

Claudio Gonzales

- Maschke's theorem
- Orthogonality of characters
- Computing character tables
- Schur's lemma

Differential geometry

Oliver Wang

- Parametrized curves, regular curves, arc-length parametrization
- Frenet frame for a curve, curvature, torsion
- First and second fundamental forms, curves in surfaces, principal curvatures
- Gaussian and mean curvature
- Isometry, Gauss's theorem egregium
- Gauss-Bonnet

Research talks round 1

- Minh-Tam Trinh (advisor: Bao Chau Ngo)
- Mariya Sardarli (advisor: Takis Souganidis)
- Jon DeWitt (advisor: Amie Wilkinson)

Hyde Park Bar Crawl

Adan Medrano

After dinner at Seven Ten Lanes, the bar crawl starts at Jimmy's. To participate in the bar crawl, you

Saturday

21 Sep

21 Sep

61st Street Farmer's Market

Pallav Goyal

Meet in the first year office at and bring cash if you want to buy produce and snacks!

Fall Poker Tournament Spectacular

Reid Harris

The tournament will start punctually at at Reid's flat (5205 South Kimbark Avenue). For those interested, come at for an explanation of the rules. Cheat sheets will be provided.

We will order dinner for all those interested. Please bring a little cash for food if you want it.

Day

Morning

Afternoon

Evening

Sunday

22 Sep

22 Sep

Monday

23 Sep

23 Sep

Multivariable Calculus

Adan Medrano and Kostas Psaromiligkos

- Basic Euclidean geometry: dot product, curl, equation of lines, planes
- Spherical and cylindrical coordinates
- Total derivatives, Taylor series
- Inverse and implicit function theorems
- Immersion and submersion theorems
- Vector fields, gradient vector fields, Lagrange multipliers
- Multiple integration: computing volumes and surface area
- Classial Stokes and divergence theorems

Forum on the First-Year Program

Isabella Scott

Tuesday

24 Sep

24 Sep

Physical Sciences Division Welcome and Orientation

See the PSD orientation website for more information.

Opening Procession

Begins on the main quad with a bagpipe-led procession to Rockefeller Chapel. There's also lunch at . See the UChicago Grad website for more information. Register on eventbrite.
Graduate Student Social

From the website: "toast to the year ahead with fellow grad students on the Midway, hosted by Graduate Council"

Wednesday

25 Sep

25 Sep

Measure and Integration

Peter Morfe

- σ-algebras and measures (e.g. Cantor sets)
- Lebesgue integration, change of variables, Fubini-Tonelli theorem
- Radon-Nikodyn theorem and conditional expectation
- L
^{p}spaces, Cauchy-Schwarz, Holder inequalities - Duality, Riesz representation theorem, basic Hilbert space theory
- Fourier series and Fourier transform

Department orientation with faculty

Amie Wilkinson

In Eckhart 202.

Class photo

On the front steps of Eckhart Hall that lead out to the quad.

Sexual Misconduct Awareness and Prevention Meeting

Amie Wilkinson

In Eckhart 202.

Board Game Night

Dylan Quintana

Meet in the first-year office for board and card games.

Thursday

26 Sep

26 Sep

Faculty Open House

Faculty | Office | Hours |
---|---|---|

Benson Farb | Ry 356 | 9:30-11:30, 2-3 |

Trevor Hyde | E 113 | 9-11:30 |

Maryanthe Malliaris | E 406 | 9:30-10:30 |

Akhil Mathew | E 326 | 10-11:30 |

Madhav Nori | E 310 | 10:00-11:30 |

Alexander Razborov | Ry 257E | 9:30-11:30 |

Charles Smart | E 224 | 9:30-11:30 |

Takis Souganidis | Ry 360G | 10-11:30, 2-4 |

Amie Wilkinson | E 412B | 9:30-11:30, 2-3 |

Departmental Welcome Lunch

The Math Department will be hosting a welcome lunch in the Barn. Non-first-years please RSVP to Andrea Rosalez.

Faculty Open House

Faculty | Office | Hours |
---|---|---|

László Babai | Ry 164 | 2-5 |

Marianna Csörnyei | Ry 362A | 4-5 |

Matt Emerton | Ry 360F | 2-5 |

Benson Farb | Ry 356 | 9:30-11:30, 2-3 |

Victor Ginzburg | E 402 | 12:30-1:30 |

George Glauberman | E 419 | 2-3 |

Greg Lawler | E 415 | 2-4 |

Brian Lawrence | E 333 | 2-3, 4-5 |

Peter May | E 314 | 1-5 |

Takis Souganidis | Ry 360G | 10-11:30, 2-4 |

Amie Wilkinson | E 412B | 9:30-11:30, 2-3 |

Dinner in Chinatown

Billy Lee

Please RSVP here. Meet at at 55th and University or at at Happy Lamb Mongolian Hot Pot, 2342 S Wentworth Ave. We will take the 55 bus and then the red line to chinatown.

North Side Bar Crawl

Nat Mayer

The first bar is the Map Room at 1949 N Hoyne Ave. Meet there at . To participate in the bar crawl, you

Friday

27 Sep

27 Sep

Probability Theory

Bohdan Kivva

- Discrete and continuous probability spaces. Conditional probability and Bayes theorem
- Densities (pdf) and distribution functions (cdf)
- Random variables and independence
- Expectation (and linearity), variance
- The main distributions: binomial, geometric, Poisson, exponential, normal
- Law of large numbers and central limit theorem
- Moment generating function

Differential Topology

Nacho Darago

- Tangent and cotangent bundle
- Vector fields and differential forms
- Exterior derivatives, pullbacks and that they commute
- Lie derivatives of vector fields and forms, contraction, Cartan's magic formula
- Integration of forms

Research talks round 2

- Ronno Das (advisor: Benson Farb)
- Eric Stubley (advisor: Frank Calegari)
- MurphyKate Montee (advisor: Danny Calegari)

Barbecue on the Quad

Thomas Hameister

The second years are also generously organizing a picnic to welcome everyone to the new school year! On the main quad. Plan to stick around for the introductions and the scavenger hunt.

Saturday

28 Sep

28 Sep

Walk Downtown for Dinner

Ishan Banerjee

Meet in the first-year office (or at the Point at ) for a lakeside walk downtown to Giordano's Pizza at 223 W Jackson Blvd. We will reach the restaurant at around .

Sunday

29 Sep

29 Sep