## Bruno Benedetti

##### Assistant Professor

Education: TU Berlin, 2010
Research Area: Geometric Combinatorics
Email: bruno@math.miami.edu
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 11986? 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.

##### 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

##### 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.