Eran Makover

activity

20012026

most citedOn the Genus of a Random Riemann Surface

9 citations · 19 across the 12 of their papers we have counts for

collaborators

14 papers

math.GT2026

Short homology bases for translation surfaces

Peter Buser, Achintya Dey, Eran Makover +1

Let $S$ be a closed translation surface of genus $g \geq 2$ with $a r e a (S) = 4 π g$ . We show that for any $λ \in (0, 1)$ there exist $⌊ λ \cdot g ⌋$ homologically indep…

math.DG2024

Translation surfaces with large systoles

Peter Buser, Eran Makover, Bjoern Muetzel

In this paper we continue to investigate the systolic landscape of translation surfaces started in [CHMW]. We show that there is an infinite sequence of surfaces $(S_{g_{k}})_{k}$ of g…

math.GT2023

Some counterexamples in surface homology

Peter Buser, Eran Makover, Bjoern Muetzel

We present four counterexamples in surface homology. The first example shows that even if the loops inducing a homology basis intersect each other at most once, they still may sepa…

math.DG2022

Short homology bases for hyperelliptic hyperbolic surfaces

Peter Buser, Eran Makover, Bjoern Muetzel

Given a hyperelliptic hyperbolic surface $S$ of genus $g \geq 2$ , we find bounds on the lengths of homologically independent loops on $S$ . As a consequence, we show that for any $λ…

math.DG2018

Energy distribution of harmonic 1-forms and Jacobians of Riemann surfaces with a short closed geodesic

Peter Buser, Eran Makover, Bjoern Muetzel +1

We study the energy distribution of harmonic 1-forms on a compact hyperbolic Riemann surface $S$ where a short closed geodesic is pinched. If the geodesic separates the surface int…

math.AG2018

Transplantation and isogeny of intermediate Jacobians of compact Kähler manifolds

Carolyn Gordon, Eran Makover, Bjoern Muetzel +1

We give a general method for constructing compact Kähler manifolds $X_{1}$ and $X_{2}$ whose intermediate Jacobians $J^{k} (X_{1})$ and $J^{k} (X_{2})$ are isogenous for each $k$ , and we exhibit…