Magnus Bakke Botnan
PhD candidate in topology
||Department of Mathematical Sciences
||1242, Sentralbygg 2
||+47 73 55 02 38
||[my last name][at]math[dot]ntnu[dot]no
I work within the field of applied algebraic topology with main focus on different aspects of persistent homology and possible applications thereof. I will add a more detailed description at some point.
- Magnus Bakke Botnan, Gard Spreemann, Approximating Persistent Homology in Euclidean Space
Through Collapses,, arXiv: 1403.0533, submitted 2014.
- Rongyue Zhang; Sachnev, V.; Botnan, M.B.; Hyoung Joong Kim; Jun Heo; , "An Efficient Embedder for BCH Coding for Steganography," , IEEE Transactions on Information Theory , vol.58, no.12, pp.7272-7279, Dec. 2012.
- Metrics on Persistence Modules and an Application to Neuroscience. Slides, Nordic Topology Meeting 2014. NTNU, November 28, 2014.
- Topological Analysis of CCC Data. Poster presentation ATMCS6. UBC, Vancouver, May 27, 2014
- Approximating Persistent Homology in Euclidean Space Through Collapses. Poster presentation. IMA, March 4, 2014.
- The Euler characteristic: from the birth of algebraic topology to modern day applications. Student seminar. NTNU. March 15, 2012.
- Multiple seminars: persistent homology, zigzag persistence, discrete Morse theory. Geometry/Topology seminar. NTNU. October, 2011-.
- Nordic Topology Meeting 2014. Trondheim, Norway, Nov 27-28, 2014.
- Generalized Persistence and Applications. Palo Alto, California. Sep 14-19, 2014.
- Applied and Computational Topology: ATMCS 6. Vancouver, Canada. May 26-30, 2014.
- Topology and Geometry of Networks and Discrete Metric Spaces. IMA, Minneapolis, April 28-May 2, 2014.
- Topological Systems: Communication, Sensing, and Actuation. IMA, Minneapolis, March 3-7, 2014.
- Algebraic Topology in Dynamics, Differential Equations, and Experimental Data. IMA, Minneapolis, February 10-14, 2014.
- Introductory Workshop: Algebraic Topology. MSRI, Berkeley, January 27-31, 2014.
- Applied Topology 2013. Bedlewo, Poland, July 21-27, 2013.
- Applied Computational and Algebraic Topology. Bremen, Germany, July 15-19, 2013.
- Norwegian Topology Meeting 2012. Oslo, Norway. December 6-7, 2012.
- Applied and Computational Topology: ATMCS 5. Edinburgh, Scotland. July 2-6, 2012.
- Norwegian Topology Meeting 2011. Trondheim, Norway. December 5-6, 2011.
- It is well-known that both and are transcendental but it is not known whether and are irrational or not. Show that at most one of them is rational.
- Show that there exist irrational reals and such that
- If you choose an answer to this question at random, what is the probability that you will be correct? a.) 25%, b.) 50%, c.) 60%, d.) 25%.