## 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 461 D, Spring 2017**- Syllabus

PART I: GROUP THEORY. Some course notes - Homework 0- Homework 1- Homework 2 - Homework 3 - Homework 4

PART II: RING THEORY. Some course notes - a tentative studyguide - Homework 5 - Homework 6 - midterm preparation

PART III: FIELD EXTENSIONS. Some course notes - final preparation

*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 using only a ruler and a compass, what ``numbers'' can i construct from a segment of length one? (Can i construct a segment of length √5 ? What about ∛5 ?) Finally: What are the last two digits of 1198*

^{6}? This course will teach you an abstract approach that solves all of these questions. In addition, it allows you to understand vectors, matrices, and Rubik cube moves.** Calculus II**

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

*A course on integration techniques, infinite series, Taylor series. Among the things we will understand are:*

- how to compute the length of a curve, or the area under it;

- Zeno's paradox in Greek philosophy;

- the meaning of ''exponential decay'' and how radiocarbon dating works.

- how to compute the length of a curve, or the area under it;

- Zeno's paradox in Greek philosophy;

- the meaning of ''exponential decay'' and how radiocarbon dating works.

** Topology I**

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

** Polytopes**

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

** Survey of Modern Algebra**

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

** Linear Algebra **

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

** Introduction to Ordinary Differential Equations **

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

** Calculus 2 **

MATH 1342 (at Northeastern U, Boston)
**Summer schools and advanced teaching**

** 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 Algebraic 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.

** Seminaire Lotharingien de Combinatoire**

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

** 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.