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Thursday, April 19, 2018

Advanced Knowledge Problem of the Week 4-19-18: Contour Integral [Complex Analysis]

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Solution below.

Tuesday, April 17, 2018

Problem of the Week 4-17-18: Fraction Representations [Algebra]

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Solution below.

Thursday, April 12, 2018

A Week of Singularities: April 17-22, 2018: An AMS Special Session + satellite events


Upcoming research lectures at the Center
Tuesday-Thursday, April 17-19: Lecture series by Bernard Teissier and Paolo Aluffi at the Worldwide Center of Mathematics

  • Tuesday, April 17, 3-4pm, Bernard Teissier: "A geometric introduction to valuation theory via infinite dimensional algebraic geometry, Part 1"
  • Tuesday, April 17, 4:30-5:30pm, Bernard Teissier: "A geometric introduction to valuation theory via infinite dimensional algebraic geometry, Part 2"
  • Wednesday, April 18, 3-4pm, Bernard Teissier: "A geometric introduction to valuation theory via infinite dimensional algebraic geometry, Part 3"
  • Wednesday, April 18, 4:30-5:30pm, Paolo Aluffi: "Segre classes and other intersection-theoretic invariants of singular schemes, Part 1"
  • Thursday, April 19, 3-4pm, Paolo Aluffi: "Segre classes and other intersection-theoretic invariants of singular schemes, Part 2"
  • Thursday, April 19, 4:30-5:30pm, Paolo Aluffi: "Segre classes and other intersection-theoretic invariants of singular schemes, Part 3"

Links: 
A Week of Singularities:

Center of Math Research:


Advanced Knowledge Problem of the Week 4-12-18: Cofinite Topology Compactness [Topology]

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Solution below.

Tuesday, April 10, 2018

Problem of the Week 4-10-18: Polynomial Zero's [Polynomials]

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Solution below.

Thursday, April 5, 2018

Tuesday, April 3, 2018

Problem of the Week 4-3-18: Polynomial Root Product Minimum [Polynomials]

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Solution below.

Thursday, March 29, 2018

Advanced Knowledge Problem of the Week 3-29-18: Cauchy's Mean-Value Theorem [Real Analysis]

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Solution below.

Monday, March 26, 2018

Problem of the Week 3-27-18: Area Parity [Number Theory]

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Solution below.

Friday, March 23, 2018

Advanced Knowledge Problem of the Week 3-23-18: Quotient Rings [Abstract Algebra]

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Solution below.

Monday, March 19, 2018

Problem of the Week 3-20-18: Same Last Three Digits [Number Theory]

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Solution below.

Friday, March 16, 2018

Advanced Knowledge Problem of the Week 3-16-18: Mobius Function Sums [Number Theory]

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Solution below.

Monday, March 12, 2018

Thursday, March 8, 2018

Advanced Knowledge Problem of the Week 3-8-18: Cyclic Quotient Groups [Group Theory]

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Solution below.

Wednesday, March 7, 2018

Worldwide Lecture Seminar Series: Pablo Soberón

Worldwide Lecture Seminar Series: Pablo Soberón

REGISTER

Description

The Worldwide Lecture Seminar Series Presents

Pablo Soberón - Northeastern University

Friday, March 16, 2017
Coffee, tea, cookies: 3:30pm
Talk: 4-5pm

Worldwide Center of Mathematics -- Cambridge, MA, USA
Abstract: During this talk we will discuss some robust variations of Tverberg’s theorem. The aim is to seek partitions of a finite set of points in R^d such that the convex hulls of the parts intersect, even if our set of points is going to be modified later on. Surprisingly, random partitions give sharp results. These are variations of Tverberg’s theorem which behave like weak epsilon-nets for convex sets.
Soberon @ the Center of Math

 

Monday, March 5, 2018

Problem of the Week 3-6-18: Diophantine Equation/Prime Powers [Number Theory]

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Solution below.

Wednesday, February 28, 2018

Advanced Knowledge Problem of the Week 3-1-18: An Improper Integral [Complex Analysis]

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Solution below.

Thursday, February 22, 2018

Advanced Knowledge Problem of the Week 2-22-18: Inner Automorphisms [Group Theory]

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Solution below.

Tuesday, February 20, 2018

Problem of the Week 2-20-18: Set Painting [Set Theory]

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Solution below.

Thursday, February 15, 2018

Wednesday, February 14, 2018

Valentine's Day Theorem

Here is a neat little theorem referred to as the "Happy ending problem" by Paul Erdős, due to it resulting in the marriage of two mathematicians. Happy Valentines Day!

Tuesday, February 13, 2018

Problem of the Week 2-13-18: Polynomial Root Averages [Polynomials]

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Solution below.

Friday, February 9, 2018

Generating Functions

Here are some neat generating functions for different notable sequences of numbers.

Thursday, February 8, 2018

Advanced Knowledge Problem of the Week 2-8-18: Nilpotent Elements [Abstract Algebra]

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Solution below.

Tuesday, February 6, 2018

Problem of the Week 2-6-18: Powers of Five [Number Theory]

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Solution below.

Tuesday, January 30, 2018

Problem of the Week 1-30-18: Recursion [Recursions, Polynomials]

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Solution below.

Thursday, January 25, 2018

Math Organizations from JMM 2018




JMM 2018 was a fun math filled event and a great way to start the year. After meeting so many new people and seeing so many different math related organization, we thought we'd share some of our favorites. Here is a list of some of cool math organizations we learned about.

AWM - Association for Women in Mathematics
AWM works to help encourage interest in mathematics among women, as well as advocates for equality among genders in the mathematics. Formed in 1971, the society has held lectures series honoring notable female mathematicians and have given out medals such as the Alice T. Schafer for undergraduate women who have shown themselves to be exceptional mathematicians. They have notable members too, such as their current president Ami Radunskaya, who is a professor of mathematics at Pomona College.

CoCalc - Collaborative Calculation in the Cloud
CoCalc is part of the Sage Project, an expansive tool created by the mathematics professor William Stein. CoCalc is a powerful environment made to carry out mathematical calculations, and can also be used to help organize courses. Over 200 courses have used CoCalc; it has proven itself to be invaluable to classroom learning.

Project Gutenburg - Free eBooks
Project Gutenburg makes easily accessible old eBooks from notable authors, many of which have expired copyrights. On Project Gutenburg you can find works by Max Planck, Albert Einstein, Felix Klein, and many more. Project Gutenburg has books from a wide range of topics, which they digitize and proofread with the help of many volunteers.

Edfinity - Affordable Resource for Problems
It is well known that solving problems is key to progressing in mathematics, and Edfinity is working to make textbook problems more accessible to students. Edfinity provides problems and solutions from textbooks or other sources for students to solve to help further their education, and helps educators by making grading more automated. It is a convenient place for students to hone their problem solving abilities.

Tuesday, January 23, 2018

Problem of the Week 1-23-18: Combinatorial Sum [Algebra,Combinatorics]

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Solution below.

Monday, January 15, 2018

Problem of the Week 1-16-18: Trigonometric Identity [Trigonometry]

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Tuesday, January 2, 2018

Problem of the Week 1-2-18: Unit Square [Geometry]

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Solution below.