## Irish Geometry Conference 2015

**Date:** Friday, 15 May and Saturday, 16 May

**Location:** Mary Immaculate College, Limerick, room T115

**Details:**
on conference homepage

## Algebraic Geometry Conference 2012

**Date:** Friday, 3 February and Saturday, 4 February

**Location:** Mary Immaculate College, Limerick, room T115

**Details:**
on conference homepage

## Research Interests

- Complex Algebraic Geometry and Homological Algebra
- Homological Mirror Symmetry
- Quantum Cohomology, Gromov-Witten Invariants
- Classification of complex manifolds
- Twistor spaces

## Postgraduate Studies at Mary Immaculate College

It is possible to pursue postgraduate research in Mathematics for an
MA or PhD thesis under my supervision at Mary Immaculate College. If you
are interested, feel free to contact me in order to discuss suitable
research areas or any other question which arises.

Further information is available via
Postgraduate Studies in Mathematics.

## Current Postgraduate Students at MIC

- Arne Rüffer

## Former Postgraduate Students

- Lisa Kierans (M.A., 2010, MIC)

Thesis: Nondegenerate Solutions to the Classical Yang-Baxter Equation, and Checking Solutions with SINGULAR - Ciara Daly (M.A., 2007, MIC)

Thesis: Stability Concepts in Algebraic Geometry - Bijan Afshordel (Dipl.-Math., 2002, University Kaiserslautern)

Thesis: On Fukaya's Category over Elliptic Curves - Sergey Mozgovoy (Dipl.-Math., 2002, University Kaiserslautern)

Thesis: Some Observations on Homological Mirror Symmetry in Dimension One

## Selected Publications

- N. Honda, B. Kreussler
Algebraic dimension of twistor spaces whose fundamental system is a pencil,

*J. London Math. Soc.*95, (2017) 989-1010,

preprint version arXiv:1510.07232 [math.DG] - I. Burban, B. Kreussler
Analytic moduli spaces of simple sheaves on families of integral curves,

*Math. Nachr.*287, (2014) 173-183,

preprint version arXiv:1212.5477 [math.AG] - I. Burban, B. Kreussler
Vector bundles on degenerations of elliptic curves and Yang-Baxter equations,

Memoirs of the AMS (2012),

preprint version arXiv:0708.1685 [math.AG] - L. Kierans, B. Kreussler
The Belavin-Drinfeld theorem on non-degenerate solutions of the classical Yang-Baxter equation,

*J. Phys.: Conf. Ser.*,**346**012011 (2012) - I. Burban, B. Kreussler
Vector bundles on families of irreducible cubics and applications,

In:*Complex Geometry in Osaka, In honour of Professor Akira Fujiki on the occasion of his 60th birthday, Lecture Note Series in Mathematics Vol. 9, Osaka University*(June 2008) 200-216. - B. Kreussler
Elliptic Curves — an Introduction,

*Irish Math. Soc. Bulletin*,**60**(2007) 39-43 - B. Kreussler
Solving Cubic Equations in Two Variables,

*Irish Math. Soc. Bulletin*,**60**(2007) 45-66 - I. Burban, B. Kreussler
Derived categories of irreducible projective curves of arithmetic genus one,

*Compositio Mathematica*,**142**(2006) 1231-1262,

preprint version arXiv:math.AG/0503496 - I. Burban, B. Kreussler
On a relative Fourier-Mukai transform on genus one fibrations,

*manuscripta mathematica***120**(2006) 283-306,

preprint version arXiv:math.AG/0410349 - I. Burban, B. Kreussler
Fourier-Mukai transforms and semi-stable sheaves on nodal Weierstrass cubics,

*J. Reine Angew. Math.***584**(2005) 45-82,

preprint version arXiv:math.AG/0401437 - B. Kreussler
Homological Mirror Symmetry in Dimension One, Emma Previato (ed.) Advances in Algebraic Geometry Motivated by Physics: AMS Special Session Enumerative Geometry in Physics, April 1-2, 2000, University of Massachusetts, Lowell, Massachusetts, Providence, RI: American Mathematical Society.

*Contemporary Mathematics***276**(2001) 179-198 - B. Kreussler
Another Description of Certain Quartic Double Solids,

*Mathematische Nachrichten***212**(2000) 91-100 - B. Kreussler
Twistor Spaces With a Pencil of Fundamental Divisors,

*Doc.Math.J.DMV***4**(1999) 127-166 - F. Campana, B. Kreussler
Existence of twistor spaces of algebraic dimension two over the connected sum of four complex projective planes,

*Proceedings of the AMS***127**(1999) 2633-2642 - F. Campana, B. Kreussler
A conic bundle description of Moishezon twistor spaces without effective divisors of degree one,

*Mathematische Zeitschrift***229**(1998) 137-162 - B. Kreussler
On the algebraic dimension of twistor spaces over the connected sum of four complex projective planes,

*Geometriae Dedicata***71**(1998) 263-285 - B. Kreussler
Moishezon twistor spaces without effective divisors of degree one,

*Journal of Algebraic Geometry***6**(1997) 379-390