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24 May 2024: Until I make a new website, a copy of my CV can be found here..

24 Jun 2024: I am originally from New Zealand and am currently funded by a Woolf Fisher Scholarship. ... bashrc file. Check out Maths Craft, if you're based in New Zealand they run events, and in any case they have some fun resources.

2 Jul 2024: Salvesen Research Fellow at New College. My doctoral thesis appeared in 1988 and I was the first student ever supervised by Karin Erdmann.

21 Jun 2024: already. So, please be aware that I will be unlikely to respond positively to any new request.

11 Mar 2024: New Zealand J. Math. (Volume 48, 2018).

3 Jul 2024: M. Campos, M. Jenssen, M. Michelen, J. Sahasrabudhe. A new lower bound for sphere packing.

25 May 2024: to let me know, with the new available time or times that you'd like.

29 Jun 2024: My Part 1A second half of the old course Algebra and Geometry (fairly close to the new course 1A Groups) inMy Part 1B Complex Methods (P3) notes inThere are now new ... My rather old Linear Mathematics notes (WARNING the new syllabus contains

10 Mar 2024: We should not be surprised by Python writing a Tragedy. Python is very interested in media, in formats: Game shows, chat shows, news items.

11 Mar 2024: Writing Guide for new first years.

6 Mar 2024: We obtain generic models for genus 2 curves over with real multiplication in 12 new cases, including all fundamental discriminants D < 40.

23 Jan 2024: But maybe that is a good idea for a new project….

15 Jan 2024: Study. Coding and Cryptography. Coding and Cryptography. Example sheets from previous years. 2022-2023. 2021-2022. 2020-2021. 2019-2020. 2018 - 2019. 2017 - 2018. 2016 - 2017. 2015 - 2016. Supplementary material. Example sheets from previous years.

25 Apr 2024: 19. th. April 2024 - Columbia University, New York. 8. th.

19 Jun 2024: Math. 185 (2011), 467–559, (available also at ). with Igor Rodnianski, A new physical-space approach to decay for the wave equation with applications to black hole spacetimes, in XVIth International

22 Jan 2024: A new approach to minimising binary quartics and ternary cubics, Math.

17 May 2024: Kontoyiannis, G. Kramer, R. Yeung, and S. Verdú. "Panel on New Perspectives on Information Theory." (Invited discussion.) IEEE Information Theory Society Newsletter, pp. ... Rotorua. , New Zealand, September 2005. [pdf]. A. Anagnostopoulos, I.

19 Jun 2024: New Frontiers in Strong Gravity, Benasque, 5–18 July 2020 (postponed to 2022). ... Colloquium, Rutgers University New Brunswick, 9 October 2015. Colloquium, Vanderbilt, 8 October 2015.

25 Jan 2024: Purchasing the rights to a new movie costs £10,000. How muchhave they spent after 5 years? ... Mr. Smithbuys a new car as soon as the old one breaks down or reaches T years.

26 Jan 2024: The coefficients a′i of the new Weier-strass equation are related to the coefficients ai of the old via.

25 Jan 2024: There are two salesmennear the door who offer passing customers samples of a new product. ... Each customer takesan exponential time of parameter 1 to think about the new product, and during this timeoccupies the full attention of one salesman.

28 Feb 2024: I therefore find a new pair of primes and announce that I shall be using theRabin cipher with public modulus N ′ > N. ... Charles Fraser-Smith is widely credited as the inspiration for Q, forwhich see the New Scientist article ‘Careful Carruthers

15 Jan 2024: numbers’. A new system was introduced which is compatible with the systemused to label most consumer goods. ... Kelly’s original 9-page paper from 1956, A new interpretation of information rate isfreely available and is a model of clarity.

26 Jan 2024: 3]) A new topological proof of Heuer’s (sharp) spectral gap for RAAGsby constructing non-positively curved angle structures on surfaces boundingsome power of w.

21 Jan 2024: Lake City. • Plenary speaker, 8th joint Australian/New Zealand Mathematics Societies con-.

28 Apr 2024: Higgins's drawing-room; for the new-born Wellsian had to find her bearings almost as ridiculously as a baby; but nobody hates a baby for its ineptitudes, or thinks the

15 May 2024: 50 pages. arXiv:2010.10887. A. Keating and O. Randal-Williams, On the order of Dehn twists.New York Journal of Mathematics, 29 (2023), pp. ... Homological stability for moduli spaces of manifolds – Algebraic Topology: Applicationsand New Directions;

5 Feb 2024: This is just a brief guide to assist those new to hosting seminars.

17 May 2024: Kontoyiannis, G. Kramer, R. Yeung, and S. Verdú. “Panelon New Perspectives on Information Theory.” (Invited discussion.) IEEE Information TheorySociety Newsletter, pp. ... Ioannis Kontoyiannis 14. C35. “New results and exact sample-based

17 May 2024: C35. “New results and exact sample-based methodology for learning in alpha-stable regression models,”with M. ... Huang and S.P. Meyn.Invited paper, Proceedings of the Stochastic Theory and Control Workshop, Springer, New York,pp.

11 Mar 2024: 4. Quantifiers: and. Perhaps the most problematic symbols for new mathematicians are the twoquantifier symbols: the universal quantifier ‘for all’ and the existentialquantifier ‘there exists’. ... ϵ > 0’: simply introducing a new symbol, which

28 Jan 2024: gives a new proof of the result in [EM99]and [MOV05].

16 Jan 2024: The idea behind this definition is that the new connection # preserves J, and thus is compatiblewith the GL(m, C)-structure. ... for all e Γ(E), f Γ(F). Moreover, there exist natural definitions of two new Hermitian structures,HE HF on E F and HE HF on

11 Jan 2024: CONGRUENCES BETWEEN MODULAR FORMS. JACK A. THORNE. Abstract. We survey the connections between modular forms and represen-. tations of Galois groups that are predicted by the Langlands programme. We. focus in particular on the applications of

16 Jan 2024: Putting these into ourdefinition of the potential (23) (and an analogous equation for the other two components Φz andΦw̃), we find that the new potential Φ. ′

22 Jan 2024: 1973). A Course in Arithmetic. Springer-Verlag, New York. Lycka Drakengren, Trinity College, Cambridge CB3 9DH, UKE-mail address: lyckasbrev@hotmail.com.

8 Mar 2024: We will also show that the discrimi-nant depends only on the module generated by the tuple and that itdecreases in absolute value when we add new elements to the

29 Jan 2024: There will be a new language and a finitely axiomatisabletheory T in it which is a conservative extension of AxC. ... Howeverthe proof isn’t hard once you’ve got that new idea. Striking that vdW is earlier than Ramsey.

31 Jan 2024: This new homotopy satisfies. H̄(x, 0) = H(x, 1) = g(x) H̄(x, 1) = H(x, 0) = f(x). ... If γ is a path from x0 to x1 and γ′ is a path from x1 to x2, then we define a new pathγ γ′ : I X, the concatenation of γ

31 Jan 2024: We can take the collection of all isomorphisms of G, and form a new group out of it.

29 May 2024: We return to this question later in the chapter, but firstshow how to build new well-ordered sets from old ones.

5 Jun 2024: MAPPING CLASS GROUPS OF h-COBORDANT MANIFOLDS. SAMUEL MUÑOZ-ECHÁNIZ. ABSTRACT. We prove that the mapping class group is not an h-cobordism invariant of high-dimensional manifolds by exhibiting h-cobordant manifolds whose mapping class groups

5 Jun 2024: A WEISS–WILLIAMS THEOREM FOR SPACES OF EMBEDDINGSAND THE HOMOTOPY TYPE OF SPACES OF LONG KNOTS. SAMUEL MUÑOZ-ECHÁNIZ. ABSTRACT. We establish a pseudoisotopy result for embedding spaces in the line of that of Weiss and Williamsfor