About my work - Hana Melanova - Faculty of Mathematics, University of Vienna

Hana Melanova
Hana Melanova
Go to content

Research Experience

January 2021 - present
Employment in the research project Special L-values and p-adic L-functions, START-Project Y966
University of Vienna, Austria

September 2018 - December 2020
Employment in the research project Artin Approximation, Arc Spaces and Resolution of Singularities, FWF Project 31338
University of Vienna, Austria

July 2018 - July 2020
Employment in the research project Resolution of Singularities via Geometric Invariants, Project FA506081
University of Vienna, Austria

April 2018 - June 2018
Employment in the research project Algebra of 3-dimensional Motions, FWF Project 31061
Johannes Kepler University Linz, Austria

February 2015 - March 2018
Employment in the research project Resolution of Singularities, FWF Project 25652
University of Vienna, Austria  


Awards and Scholarships

July 2018 - August 2020
ÖAW Doc Fellowship, Austrian Academy of Sciences, Project FA506081, Austria

2017
Würdigungspreis - award of excellence given to the 50 best university graduates in Austria by the Federal Ministry of Education and Science, Austria

Fabruary 2015 - December 2016
Research Scholarship for Master Students, University of Vienna, FWF Project 25652, Austria

2013 - 2017
Scholarship of excellence (Leistungsstipendium), University of Vienna, Austria


Publications

On the First Fundamental Theorem for GL_2(K) and SL_2(K)
2020, submitted, PDF

Geometric Invariants of Plane and Space Curves
2020, preprint, PDF

Resolution of Singular Algebraic Curves via Geometric Invariants
2021, submitted

Geometric Invariants for the  First Fundamental Theorem for GL_n(C)
2021, preprint


Teaching

Fall semester 2017
Problem session to Linear Algebra for Physicists
Faculty of Physics at the University of Vienna, Austria

Tutorials for ``Algebra 2‘‘
Faculty of Mathematics at the University of Vienna, Austria


Fall semester 2018
Linear Algebra – lecture and problem session
College of Education Burgenland, Austria


Scientific Activities

Presentations

On the First Fundamental Theorem for SL_2(K)
presented during the VSM Retreat, Yspertal, Austria, 9 - 12 March 2020

Resolution of Singular Plane Curves via Geometric Invariants
presented during the Workshop on Singularities: Semigroups, Topology and Valuations, Madrid, Spain, 28 - 31 October 2019

Geometric Invariants of Surfaces as Natural Objects
presented in the PhD Colloqium, University of Vienna, Austria, 5 December 2018

Resolution of Singular Plane Curves via Geometric Invariants
presented at the Joint Meeting of the Czech, Slovak and Catalan Mathematical Societies, Bratislava, Slovakia, 10 - 14 September 2018

Resoltution of Singular Plane Curves via Geometric Invariants
presented in the Algebraic Geometry Seminar,  Universidad Autónoma de Madrid, Spain, 5 February 2018

Geometric Invariant as a Key Player in Resolution of Plane Curves
presented during  the workshop Resolution of Singularities - New Resolution Methods, Vienna, Austria, 27 Mai - 3 July 2017

On the Galois Correspondence
presented during the VDS Retreat, Strobl, Austria, 23 - 26 April 2017

Geometric Invariants in Resolution of Singular Plane Curves
presented in the Algebra Seminar, University of Barcelona, Spain,  24 February 2017

Posters

Resolution of Singularities via Geometric Invariants
presented at the Heidelberg Laureate Forum, Heidelberg, Germany, 24 - 28 September 2018, PDF


Back to content