Bio

Degree

PhD in Mathematics

University of Arizona

MS in Applied Mathematics

Northwestern University

BS in Mathematics

Northern Arizona University

Published Works

• Dyhr, B. (2021). Review of "The fractal dimension of Liouville quantum gravity: universality, monotonicity, and bounds." Ding, Jian; Gwynne, Ewain. Comm. Math. Phys. 374 (2020), no. 3, 1877--1934. . American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2020). Review of "Multipoint estimates for radial and whole-plane SLE." by Mackey, Benjamin; Zhan, Dapeng. J. Stat. Phys. 175 (2019), no. 5, 879--903.. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2020). Review of "A distance exponent for Liouville quantum gravity." Gwynne, E.; Holden, N.; Sun, X., Probab. Theory Related Fields 173 (2019), no. 3-4, 931–997. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2019). Review of "Connection probabilities for conformal loop ensembles." Miller, J.; Werner, W., Comm. Math. Phys. 362 (2018), no. 2, 415–453. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2019). Review of "CLE percolations." Miller, J.; Sheffield, S.; Werner, W., Forum Math. Pi 5 (2017), e4, 102 pp. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2018). Review of "Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees." Miller, J.; Sheffield, S., Probab. Theory Related Fields 169 (2017), no. 3-4, 729–869. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2018). Book review of "Stochastic modeling." Lanchier, N., Universitext. Springer, Cham, 2017. xiii+303 pp. ISBN: 978-3-319-50037-9; 978-3-319-50038-6. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2018). Review of "Level lines of Gaussian free field I: Zero-boundary GFF." Wang, M.; Wu, H., Stochastic Process. Appl. 127 (2017), no. 4, 1045–1124. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2017). Reprinted review of "Discrete complex analysis on isoradial graphs." Chelkak, D.; Smirnov, S., Adv. Math. 228 (2011), no. 3, 1590–1630. Bulletin of the American Mathematical Society, http://dx.doi.org/10.1090/bull/1578
• Dyhr, B. (2017). Review of "Imaginary geometry III: reversibility of SLEκ for κ∈(4,8)." Miller, J.; Sheffield, S., Ann. of Math. (2) 184 (2016), no. 2, 455–486. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2017). Review of "Imaginary geometry II: reversibility of SLEκ(ρ1;ρ2) for κ∈(0,4)." Miller, J.; Sheffield, S., Ann. Probab. 44 (2016), no. 3, 1647–1722. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2017). Review of "Imaginary geometry I: interacting SLEs." Miller, J.; Sheffield, S., Probab. Theory Related Fields 164 (2016), no. 3-4, 553–705. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2016). Review of "Minkowski content of the intersection of a Schramm-Loewner evolution (SLE) curve with the real line." Lawler, G. F., J. Math. Soc. Japan 67 (2015), no. 4, 1631–1669. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2016). Review of "Some locally self-interacting walks on the integer." Erschler, A.; Tóth, B.; Werner, W., Probability in complex physical systems, 313–338, Springer Proc. Math., 11, Springer, Heidelberg, 2012. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2016). Reprinted review of "Universality in the 2D Ising model and conformal invariance of fermionic observables." Chelkak, D.; Smirnov, S., Invent. Math. 189 (2012), no. 3, 515–580. Bulletin of the American Mathematical Society, http://dx.doi.org/10.1090/bull/1529
• Dyhr, B. (2015). Review of "Escape probability and transience for SLE." Field, L. S.; Lawler, G. F., Electron. J. Probab. 20 (2015), no. 10, 14 pp. American Mathematical Society Mathematical Reviews databaseR, www.ams.org/mathscinet/
• Dyhr, B. (2015). Review of "On the continuity of SLEκ in κ." Johansson Viklund, F.; Rohde, S.; Wong, C., Probab. Theory Related Fields 159 (2014), no. 3-4, 413–433. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2015). Review of "Convergence of loop erased random walks on a planar graph to a chordal SLE(2) curve." Suzuki, H., Kodai Math. J. 37 (2014), no. 2, 303–329 . American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2015). Review of "Almost sure multifractal spectrum for the tip of an SLE curve." Johansson Viklund, F.; Lawler, G. F., Acta Math. 209 (2012), no. 2, 265–322.. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2014). Review of "Some partial results on the convergence of loop-erased random walk to SLE(2) in the natural parametrization." Alberts, T.; Kozdron, M. J.; Masson, R., J. Stat. Phys. 153 (2013), no. 1, 119–141 . American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2014). Review of "Pivotal, cluster, and interface measures for critical planar percolation." Garban, C.; Pete, G.; Schramm, O., J. Amer. Math. Soc. 26 (2013), no. 4, 939–1024. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2014). Review of "Some remarks on SLE bubbles and Schramm's two-point observable." Beliaev, D.; Johansson V., Comm. Math. Phys. 320 (2013), no. 2, 379–394. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2014). Review of "Hadamard's formula and couplings of SLEs with free field." Izyurov, K.; Kytölä, K., Probab. Theory Related Fields 155 (2013), no. 1-2, 35–69. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2013). Review of "The Green function for the radial Schramm-Loewner evolution." Alberts, T.; Kozdron, M.; Lawler, G. F., J. Phys. A 45 (2012), no. 49, 494015, 17 pp. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2013). Review of "Universality in the 2D Ising model and conformal invariance of fermionic observables." Chelkak, D.; Smirnov, S., Invent. Math. 189 (2012), no. 3, 515–580. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2013). Review of "Observation of SLE(κ,ρ) on the critical statistical models." Najafi, M. N.; Moghimi-Araghi, S.; Rouhani, S., J. Phys. A 45 (2012), no. 9, 095001, 12 pp. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2012). Review of "Löwner evolution driven by a stochastic boundary point." Ivanov, G.; Vasil'ev, A., Anal. Math. Phys. 1 (2011), no. 4, 387–412 . American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2012). Review of "Scaling limits and the Schramm-Loewner evolution." Lawler, G. F., Probab. Surv. 8 (2011), 442–495. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B. (2012). Review of "Discrete complex analysis on isoradial graphs." Chelkak, D.; Smirnov, S., Adv. Math. 228 (2011), no. 3, 1590–1630. American Mathematical Society Mathematical Reviews database, www.ams.org/mathscinet/
• Dyhr, B., Gilbert, M., Lawler, G., Kennedy, T., Passon, S. (2011). The Self-Avoiding Walk Spanning a Strip. Journal of Statistical Physics, 144(1), 1-22. www.springerlink.com/content/0022-4715/144/1/.

Research Interests

My research is in probability, real and complex analysis, and stochastic processes. In particular, I study 2-dimensional stochastic processes in the plane that haves scaling limits that are invariant with respect to conformal transformations. I also do some more practical work and research in actuarial sciences and mathematical education.

Teaching Interests

I am primarily interested in theory and applications of analysis, probability and statistics. Sub-fields of interest include but are not limited to calculus, linear algebra, complex analysis and stochastic processes.

Office Hours

Spring 2025 Office Hours:
Mon 11-11:30 AM, Tue 11:30am-1pm, Thu 11am-1pm

Additional Information

sites.msudenver.edu/bdyhr