The 16th Annual Pi Mu Epsilon Lecture will be given by Professor Alex Iosevich, professor of mathematics at the University of Rochester.

The PME lecture will take place on **Wednesday, April 26, 4-5 pm, in 115 Avery Hall**.

## The beautiful world of Erdos geometry: points, lines and distances

Paul Erdos considered his greatest contribution to geometry to be his distance problem, which asks, how many distinct distances are determined by *N* points in *d*-dimensional Euclidean space, *d* > 1. Generically, the number of distances is approximately *N*^{2}, but distance may repeat, so the critical question is, what is the smallest possible number of distinct distances? We are going to discuss some elementary aspects of this problem, related problems in combinatorial geometry, and some unexpected applications. The emphasis will be interconnectivity between the various areas of modern mathematics.

### About the Speaker

Professor of Mathematics Alex Iosevich of the University of Rochester earned his Ph.D. from UCLA in 1993. As a world-class expert in Harmonic Analysis, Additive Number Theory, and Discrete Geometry, he has published over 140 papers and given about 400 math lectures worldwide (in more than 20 countries). He is the advisor of 27 Ph.Ds. (and 8 current Ph.D. students). Iosevich has also been the editor of many prestigious journals, including the Canadian Journal of Mathematics and Proceeding AMS.

The Pi Mu Epsilon lecture series is made possible through the support of the UNL Mathematics Department and the Nebraska Alpha Chapter of Pi Mu Epsilon.

For more information contact

.## Previous Pi Mu Epsilon Lecturers

Year | Speaker | Institution |
---|---|---|

2022 | Ken Ono | University of Virginia, Zoom recording |

2021 (Spring) | Ben Brubaker | University of Minnesota |

2019 (Fall) | Joseph Gallian | University of Minnesota Duluth |

2018 | Robert Ghrist | University of Pennsylvania |

2017 | Ileana Streinu | Smith College |

2016 | David J. Saltman | Princeton University |

2015 | Michael Dorff | Brigham Young University |

2014 | Colin Adams | Williams College |

2013 | Suzanne Lenhart | University of Tennessee |

2012 | Michael Parks | Sandia National Laboratories |

2011 | Paul Zorn | Saint Olaf College |

2010 | James A. Sellers | Penn State University |

2009 (Fall) | Andrew F. Rich | Manchester College (North Manchester, Indiana) |

2009 (Spring) | Gwen Fisher | Cal Poly, San Luis Obispo |

2008 | David M. Bressoud | Macalester |