Dr. Ingmar Metzler

Projects

Publications

Selected works and preprints from my non-confidential treatises.

TitlePublisher/PlatformYear
IMProofBench: Benchmarking AI on Research-Level Mathematical Proof Generation

Johannes Schmitt et al.

arXiv
preprint
2025
Symmetric square type L–series

RNT
preprint
2025
Period integrals of Kudla–Millson lifts and L–functions of vector valued modular forms

TU prints
DOI
2024
Injectivity of the genus 1 Kudla–Millson lift on locally symmetric spaces

Riccardo Zuffetti

JNT
DOI
2023
Effects of digital tasks on learning math for first-year engineering students

Ömer Genc, Ulrich Reif

GI - LNI
DOI
2021

Research Projects

Selected current and upcoming research initiatives.

IMproofbench

Developing an independent, scientifically rigorous benchmark to assess the mathematical-reasoning capabilities of large language models, advancing transparency and reproducibility in AI-driven mathematical research.

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Unitary Borcherd's lifts

Investigating the geometric structure and analytic properties of the unitary extension of Borcherd’s lift, with implications for automorphic forms and arithmetic geometry.

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TU-Was

Contributing to the digital transformation of higher education through database-driven learning environments that provide adaptive, AI-supported feedback on student solutions.

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Other Projects

A collection of interactive applications and creative side projects designed for demonstration, education, and engagement. These lightweight in-browser tools support teaching, financial literacy, and conceptual exploration.

Retirement funds planner

A simplified projection tool to explore long-term private-retirement outcomes under various contribution and yield scenarios.

StreamlitSimulationOpen-Source
Retirement funds planner interface
Expense splitter screenshot

Expense splitter

A practical app for transparent and fair expense sharing after group activities or travel.

StreamlitExpensesOpen-Source
Cookbook screenshot

Cookbook

Having a cookbook appears indispensible when designing a balanced mealplan for the upcoming week and plan the weekend errands.

PlanningDiet
Quadratic Forms Sandbox screenshot

Quadratic Forms Sandbox

An interactive sandbox for computing invariants and visualising genus and class behaviour of quadratic forms.

CataloguingCASClosed-Source