Department of Mathematics

Prof. Adam Ostaszewski

Welcome to my LSE home page.

Professor of Mathematics
Mathematics Department and CDAM: Computational, Discrete and Applicable Mathematics@LSE

Address:
Room B406
Mathematics Department
London School of Economics and Political Science
Houghton Street
London WC2A 2AE

Email: a.j.ostaszewski@lse.ac.uk

Telephone: (+44) 020 7955 7656

Fax: (+44) 020 7955 6877

Research interests:

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	1. Current research interests in Applications of Mathematics: Mathematical finance with a particular focus on strategic analysis of options and accounting theory. Corporate Disclosure. Bargaining Theory.
	Click below for pdf files of some of my recent papers, concerning the fundamental value of a firm, and on Bargaining Theory:
1	An Alternative to the Feltham-Ohlson Valuation Framework: Using q-Theoretic Income to Predict Firm Value (with M Gietzmann) Journal version: Accounting & Business Research, 2004 (34 No. 4) 349-377	Accompanying diagrams
2	Statics and asymptotics of a price control limit: an optimal timing inventory problem (with R O Davies)
3	‘Equity smirks’ and embedded options: the shape of a firm’s value function Journal version in: Accounting & Business Research, 2004 (34 No. 4) 301-331
4	Endogenous Irreversibility With Finite Horizon Investment When Resale Is Possible (with M Gietzmann)
5	Dividend Policy Irrelevance: Ohlson's Uniqueness Principle in several variables
6	Returns to costly pre-bargaining claims : Taking a principled stand Journal version in: Journal of Economic Studies, Volume 33 Issue 2 (2005).
7	Value Creation with Dye's Disclosure Option: Optimal Risk-Shielding with an Upper Tailed Disclosure Strategy (with M.B. Gietzman) Journal version in: Review of Quantitative Finance and Accounting. See Online First™
	http://www.springerlink.com/content/c541384437v40165/fulltext.pdf
8	Why managers with low precision select high disclosure intensity: an equilibrium analysis (with M.B. Gietzman)
	My Seminar Slides
9	Dividend Policy Irrelevancy and the Construct of Earnings (with J. A. Ohlson and Zhan Gao)
	2. Current research interests in Pure Mathematics: Automatic Continuity and the foundations of Regular Variation. General Topology (dimension theory).
	Click below for pdf files of recent papers on Regular Variation with Nick Bingham. The most recent seminar overview of these from a year ago (dated: 1st Nov. 2007) is provided here by Nick. This covers papers 1-11 and takes no account of later revisions to all papers.
	Seminar Slides by N.H. Bingham
	My Seminar Slides

1	Generic subadditive functions (with N H Bingham)
Proc. Amer. Math. Soc. 136 (2008), 4257-4266.
2	Infinite combinatorics and foundations of regular variation (with N H Bingham)
Journal of Mathematical Analysis and Applications, 360 (2009), 518-529.
3	Very Slowly Varying Functions -- II (with N H Bingham)
Colloquium Mathematicum 116 (2009), 105-117.
4	Beyond Lebesgue and Baire: generic regular variation (with N H Bingham)
Colloquium Mathematicum, 116 (2009), 119-138.
5	New automatic properties: subadditivity, convexity, uniformity (with N H Bingham)
Aequationes Mathematicae, 78 (2009) 257-270.
6	Infinite combinatorics in function spaces (with N H Bingham)
Publ.Inst. Math. Beograde, 86 (100) (2009), 55-73.
7	The index theorem of topological regular variation and its applications (with N H Bingham)
Journal of Mathematical Analysis and Applications, 358 (2009), 238-248.
8	Regular variation without limits (with N H Bingham)
Journal of Mathematical Analysis and Applications, 370 (2010), 322-338.
9	Regular variation, topological dynamics, and the Uniform Boundedness Theorem
Topology Proceedings, 36 (2010), 305-336.
10	Automatic continuity by analytic thinning (with N H Bingham)
Proc. Amer. Math. Soc. 138 (2010), 907-919.
11	Topological regular variation: I slow-variation (with N H Bingham)
Topology and its applications, 157 (2010), 1999-2013.
12	Topological regular variation: II the fundamental theorems (with N H Bingham)
Topology and its applications, 157 (2010), 2014-2023.
13	Topological regular variation: III regular variation (with N H Bingham)
Topology and its applications, 157 (2010), 2024-2037.
14	Kingman, category and combinatorics (with N H Bingham)
J.F.C. Kingman Festschrift, ed. N.H. Bingham and C.M. Goldie), LMS Lecture Notes Series 378, 2010.
15	Normed versus topological groups: dichotomy and duality (with N H Bingham)
Dissertationes Math. 472 (2010), 138pp.
16	Beyond Lebesgue and Baire II: Bitopology and measure-category duality (with N H Bingham)
Colloquium Math. 121 (2010), 225-238.
17	Dichotomy and infinite combinatorics: the theorems of Steinhaus and Ostrowski (with N H Bingham)
Math. Proc. Camb. Phil. Soc., 150 (2011), 1-22.
18	Homotopy and the Kestelman-Borwein-Ditor Theorem (with N H Bingham)
Canadian Math. Bull. 54.1 (2011), 12-20. .
19	Analytically heavy topologies: Analytic Cantor and Analytic Baire theorems
Topology & its applications, 158 (2011), 253-275.
20	Almost completeness and Effros' Theorem in normed groups
Topology Proceedings, to appear
21	Shift-compactness in almost analytic submetrizable Baire groups and spaces
Topology Proceedings, to appear
24	Analytic Baire spaces
Fundamenta Mathematicae, to appear
26	Group action and shift-compactness (with Harry I. Miller)
Journal of Mathematical Analysis and Applications, to appear
22	Beyond Lebesgue and Baire III: Analyticity and shift-compactness
23	Continuity in groups: from one-sided to joint
25	On the Effros Open Mapping Principle
	For further information including past research interests, please see my entry in LSE Experts

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