## Bruno Benedetti

##### Assistant Professor

*Education:*TU Berlin, 2010

*Research Area:*Geometric Combinatorics

*Office*: Ungar 533

*Tel*: 305.284.8652

**Basic teaching**

** Survey of Modern Algebra**

**MATH 461G, Spring 2018**- Syllabus - Homework 1 (due Jan 26): Ex. 0,2,3,5,6, page 26 - Homework 2 (Feb 2): Ex. 1,7,8,9,10,13, p.26.

*Anybody can count: 0,1,2,3... so we all understand the natural numbers. But what about the other numbers? What is a fraction? What is a polynomial? Is there a fraction to express √5? And why do we do geometry in the Cartesian plane RxR? And many more questions: What are the last two digits of 1561201298*

^{6}? Why 1/7, 2/7, 3/7, 4/7... are all periodic, and the period is exactly six digits? This course will teach you an abstract approach that solves all of these questions. In addition, it allows you to understand better the world of vectors and matrices.Previous editions:

**MATH 461 D, Spring 2017**- Syllabus

**MATH 461 D, Spring 2016**- Syllabus - a note on a non-UFD ring.

** Discrete Mathematics**

**MATH 309D, Spring 2018**- Syllabus - Homework 1 (due Jan 26): Ex. 15, 23, 30, 33, 43 page 35. Ex. 16 page 53. Ex 34 page 55. Exercises 23, 28 page 67. Homework 2 (due Feb 2): Ex. 35, page 55. Ex. 53, p. 56. Ex. 12, p. 65. Ex. 30,33, p. 67. Ex. 2, p. 78. Ex 12, p. 79.

*A tough course on basic logic, basic arithmetic, and basic graph theory, that will help you think like a mathematician.*

** Topology I**

**MATH 531O and 631O, Spring 2016**- Syllabus

** Linear Algebra **

**MATH 210 O, Fall 2015**- Syllabus - Weekly assignments

** Introduction to Ordinary Differential Equations **

**MATH 311 P, Fall 2015**- Syllabus - Weekly assignments

** Calculus II**

**MATH 162 G7, Spring 2017**- Syllabus

**MATH 1342, Fall 2014**(at Northeastern University, Boston)

**Summer schools and advanced teaching**

** Polytopes**

**MATH 786 R and 471 R, Fall 2016**- Syllabus

** for Institut Mittag-Leffler**

- Summer Program 2012, Discrete Morse theory & Commutative Algebra, organized with Alex Engström at Institut Mittag-Leffler, near Stockholm, Sweden; from July 18 to August 1, 2012.

** Applied Topology Schools **

- ACAT Summer school 2013, Computational topology & topological data analysis, in Ljubljana, Slovenia, July 1-5, 2013.
- Winter school HTCA 2015, Genoa, Italy, February 9-13, 2015.
- Summer school on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects, Institut Henri Poincare', Paris, June 18–22, 2018.

** Seminaire Lotharingien de Combinatoire**

- Lecture series on Some recents results on polytopes, Bertinoro, Seminaire Lotharingien de Combinatoire, September 6-9, 2015.

** for the Italian Ministry of Education**

- Summer school Geometry, graph theory and optimization (in Italian), organized with Lorenzo Orecchia after winning an Italian competition called ``Messaggeri della Conoscenza''; Bari, July 14-26, 2013.