This semster (Fall 2023) I am teaching a graduate topics course in Concentration of Measure phenomenon and Convexity.

An initiative to support Ukrainian mathematicians

E-mail: glivshyts6@math.gatech.edu

Address: Room 108C, Skiles bldg, located at 686 Cherry street NW, Atlanta, GA, 30332.

Remark: Proposition 6.3 in the initial version was incorrect, see corrected version here: updated version. This proposition is non essential and unrelated to any of the the main results.

[Erratum: in 2023, Julian Haddad spotted a technical error in the published version of the paper; this error has been fixed in the current arXiv version, posted July 18, 2023.]

### Topics course in Concentration of Measure phenomenon and Convexity (Fall 2023, graduate)

### Putnam preparation (Fall 2023, undergraduate)

### Stochastic Calculus II (Spring 2023, graduate)

### Putnam preparation (Fall 2021, undergraduate)

### Putnam preparation (Fall 2020, undergraduate)

### Calculus 3 (Fall 2020, undergraduate)

### Differential Geometry (Spring 2020, graduate)

#### Home work 1 (Differential Geometry, graduate)

#### Home work 2 (Differential Geometry, graduate)

#### Home work 3 (Differential Geometry, graduate)

#### Home work 4 (Differential Geometry, graduate)

#### Home work 5 (Differential Geometry, graduate)

#### Home work 6 (Differential Geometry, graduate)

#### Home work 7 (Differential Geometry, graduate)

#### Home work 8 (Differential Geometry, graduate)

### Introduction to Probability and Statistics (Fall 2019, undergraduate)

### Applied Combinatorics (Fall 2019, distance learning)

### Analysis II (Spring 2019, undergraduate)

#### Home work 1 (Analysis II, undergraduate)

#### Home work 2 (Analysis II, undergraduate)

#### Home work 3 (Analysis II, undergraduate)

#### Home work 4 (Analysis II, undergraduate)

#### Home work 5 (Analysis II, undergraduate)

### Putnam preparation (Fall 2018, undergraduate)

### Analysis I (Fall 2018, undergraduate)

#### Home work 1 (Analysis I, undergraduate)

#### Home work 2 (Analysis I, undergraduate)

#### Home work 3 (Analysis I, undergraduate)

#### Home work 4 (Analysis I, undergraduate)

#### Home work 5 (Analysis I, undergraduate)

#### Home work 6 (Analysis I, undergraduate)

#### Home work 7 (Analysis I, undergraduate)

#### Home work 8 (Analysis I, undergraduate)

### REU with Johannes Hosle (UCLA), Summer 2018, resulting in this paper

### Linear algebra (Spring 2018, undergraduate)

### High-dimensional geometry and probability (Spring 2018, graduate topics course)

#### Home work 1 (High Dim)

#### Home work 2 (High Dim)

#### Home work 3 (High Dim)

#### Home work 4 (High Dim)

#### Home work 5 (High Dim)

#### Home work 6 (High Dim)

### Probability II (Spring 2017, graduate)

#### Home work 2 (Probability II)

#### Home work 3 (Probability II)

### Probability I (Fall 2016, graduate)

#### Home work 1 (Probability I)

#### Home work 2 (Probability I)

#### Home work 3 (Probability I)

#### Home work 4 (Probability I)

#### Home work 5 (Probability I)

#### Test 1 (Probability I)

#### Test 2 (Probability I)

#### Midterm (Probability I)

### PUTNAM preparation (Fall 2016, undergraduate)

The William Lowell Putnam Mathematical Competition is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada. It awards a scholarship and cash prizes ranging from $250 to $2,500 for the top students and $5,000 to $25,000 for the top schools. It is widely considered to be the most prestigious university-level mathematics examination in the world. The competition was founded in 1927 by Elizabeth Lowell Putnam in memory of her husband William Lowell Putnam. The exam has been offered annually since 1938 and is administered by the Mathematical Association of America. See the oficial webpage of the PUTNAM competition, as well as the page containing PUTNAM problems and solutions of the recent years. All of the Georgia Tech students interested in participating PUTNAM, and/or joining my class aimed to prepare for the competition, which runs on Tuesdays 3:05-4:55 pm at 171 skiles, are more then welcome to get in touch with me via e-mail, or stop by my office 228 Skiles, or to just show up in class! Below please see some materials for the course.

#### PUTNAM exam 2015

#### Solutions to PUTNAM exam 2015

#### Excersize set 1 (PUTNAM preparation)

#### Problem set 1 (PUTNAM preparation)

#### Problem set 2 (PUTNAM preparation)

#### Problem set 3 (PUTNAM preparation)

#### Problem set 4 (PUTNAM preparation)

#### Mini olympiad (PUTNAM preparation)

#### Problem set 6 (PUTNAM preparation)

#### Problem set 7 (PUTNAM preparation)

#### Problem set 8 (PUTNAM preparation)

#### Problem set 9 (PUTNAM preparation)

#### Problem set 10 (PUTNAM preparation)

### Introduction to Probability and Statistics (Fall 2015, undergraduate)