Generalized Invertibility in Fredholm Theory

Abstract

In [5], Harte used the well-known Atkinson’s theorem (which gives a necessary and sufficient condition for a Banach space operator to be Fredholm) to introduce a Fredholm theory relative to an arbitrary Banach algebra homomorphism. In [2], Berkani defined the notion of a B-Fredholm operator - a type of generalized Fredholm operator - for which an Atkinson-type theorem was established in [3] and utilized in [4] to introduce B-Fredholm theory in general Banach algebras.

African Regional Seas Webinar #1

Join the OceanPrediction DCC African Seas Regional Team for our first webinar of 2026. We are pleased to welcome Dr. Joseph Kofi Ansong from the University of Ghana and Dr. Sivareddy Sanikommu from KAUST (King Abdullah University of Science and Technology), who will share their research, insights, and perspectives in an engaging online session focused on ocean science and African seas.

Event Website: Link

We look forward to seeing you there!

 

How Ghosts Move in a Euclidean Space

Abstract:

Ghosts refer to non-physical entities (non-human, animal) that are believed by some people to be able to appear to the living. The question is that: if they exit, how are they traveling through ordinary Euclidean space? To model this scenario, we consider a classical system of mass m moving from a point A to another point B in position-deformed Heisenberg algebra with a generalized uncertainty principle.

Genetic Nelder-Mead algorithm for minimizing basis risk in weather index insurance.

Abstract:

This paper proposes a new optimization framework to minimize geographical basis risk in weather index insurance by integrating extreme weather penalties and spatial regularization into strike temperature design. The model balances three objectives: (i) reducing payoff mismatches between local and reference stations, (ii) penalizing strike temperature that fail to account for heatwaves and cold spells, and (iii) ensuring smooth strike variations across geographically correlated stations.

PhD Viva: Abdullah Abubakar

 

Thesis Title: A Characterization of the alternating group A_n, for n≥8 by its fusion system over a sylow 2-subgroup

 

Abstract: This thesis aims to characterize the alternating group An, for n ≥ 8, by its fusion system over a Sylow 2-subgroup. The results here will contribute to Aschbacher’s programme which is aimed at providing a simplified proof of the theorem of classification of finite simple groups.

 

PhD Candidate: Abdullah Abubakar

Studying mathematics in Jena, Germany

Abstract:

The University of Jena, Germany, offers English-taught MSc programmes in mathematics and business mathematics. We explain what it is like to study mathematics in Jena and what opportunities this opens up in academia and industry. We also explain the requirements and how to make an application successful. 

 

Speaker: Prof Stefan Ankirchner | Department of Mathematics  |  University of Jena | Germany