The Baltimore Number Theory Seminar has existed since the fall of 2015. The current core group consists of Vefa Goksel, Angel Kumchev, and Nathan McNew; other colleagues have also expressed interest in joining us in the future. For the time being, we are planning to meet at 5 pm on Tuesdays in YR 320. If you are interested in giving a talk or joining us as a permanent member, feel free to contact Angel or Nathan.

Below is the list of talks from the recent past.

## 2024-2025

Aug. 20 | Expansion, divisibility and parity (Harald Helfgott, Paris-VI/VII) |

Sept. 10 | All trees on \(n\) edges decompose the complete bipartite graph \(K_{n,n}\) (Edinah Gnang, Johns Hopkins) |

## 2023-2024

Sept. 29 | Misiurewicz polynomials and dynamical units (Vefa Goksel, Towson) |

Oct. 20 | Small fractional parts of real quadratic forms (Angel Kumchev, Towson) |

Oct. 27 | Introduction to arithmetic dynamics (Vefa Goksel + BNT, Towson) |

Nov. 3, 9, 16 | Introduction to arithmetic dynamics (Vefa Goksel + BNT, Towson) |

Mar. 14 | Preimages of the sum of proper divisors function (Lola Thompson, Utrecht) |

Apr. 24 | Arboreal Galois groups: Introduction* (Robert Benedetto, Amherst College) |

## 2020-2021

Nov. 6 | On a dense universal Hilbert set^{* **}(Michael Filaseta, S. Carolina) |

Nov. 20 | Special values of L-functions with periodic coefficients**(Siddhi Pathak, Penn State) |

Apr. 23 | Sums of squares of the k-nacci numbers(Russell Hendel, Towson) |

May 7 | Studying graphs associated with groups^{* **}(Mark Lewis, Kent State) |

May 14 | Recent results in discrete harmonic analysis^{*}(Angel Kumchev, Towson) |

May 28 | Asymptotics of restricted partition functions** (Ayla Gafni, Mississippi) |

July 16 | Bohr sets in Diophantine approximation** (Sam Chow, Warwick) |

^{*} Mathematics Colloquium talk

^{**}Virtual talk

## 2019-2020

Sept. 6 | Enumerations of restricted Dumont permutations (Opel Jones, Towson) |

Sept. 20 | Counting pattern-avoiding integer partitions (Nathan McNew, Towson) |

Oct. 4 | Patterns in permutations^{*}(Alexander Burstein, Howard University) |

Oct. 18 | Unimodal permutations and characters of the symmetric group^{*}(Kassie Archer, UT-Tyler) |

Nov. 8 | Sums of powers of primes: The Waring-Goldbach problem and its variants (Angel Kumchev, Towson) |

Feb. 14 | Newton polygons and irreducibility in \(\mathbb Q[x]\) (Angel Kumchev, Towson) |

Feb. 28 | Recursive triangles embedded in recursive families (Russell Hendel, Towson) |

Mar. 6 | Factoring RSA230, 49598666989151226098104244512918, and broader trends in cryptography^{*}(Samuel Gross, Noblis Inc.) |

Apr. 17 | Non-standard dice games: Multiset combinatorics and cyclotomic polynomials^{**}(Timothy Clark, Loyola-MD) |

May 1 | Ideals and congruences for the natural numbers^{**}(Keith Pardue) |

May 8 | Fun with Dyck and Jim^{**}(Jonathan Farley, Morgan State) |

May 22 | Lattice point distributions: Encounters with analysis and number theory^{**}(Tess Anderson, Purdue) |

June 12 | Discrete restriction estimates^{**}(Kevin Hughes, Bristol) |

June 19 | Recursive triangles embedded in recursive families, II^{**}(Russell Hendel, Towson) |

July 3 | Diameter free estimates for Vinogradov systems^{**}(Akshat Mudgal, Purdue) |

July 10 | The irreducibility criteria of polynomials with non-negative coefficients and prime values^{**}(Jacob Juillerat, South Carolina) |

July 31 | Flip graphs^{**}(Sebastian Cioaba, Delaware) |

^{*} Mathematics Colloquium talk

^{**}Virtual talk

## 2018-2019

Apr. 8 | The reciprocal sum of primitive nondeficient numbers (Jared Lichtman, Cambridge University) |

## 2017-2018

Oct. 13 | Sums of powers of almost equal primes (Angel Kumchev, Towson) |

Oct. 20 | Sums of powers of almost equal primes, II (Angel Kumchev, Towson) |

Nov. 17 | Shifted sums for sums and progressions of squares (Thomas Hulse, Morgan State) |

Feb. 8 | Zeros of partial sums of L-functions (Arindam Roy, Rice University) |

Feb. 22 | Odd zeta values, I (BNTS) |

Mar. 1 | Odd zeta values, II (BNTS) |

Apr. 19 | A shifted sum for the congruent number problem (Thomas Hulse, Morgan State) |