Daniel Markiewicz

Senior Lecturer, Dept. of Mathematics
Office: Room 206, Deichmann Bldg. (#58)
Phone: +972-8-646-1614
Fax: +972-8-647-7648
email:
Office Hours: see here

Postal Address:
Department of Mathematics
Ben-Gurion University of the Negev
P.O.B. 653
Be'er Sheva 8410501
Israel

I have a Ph.D. in Mathematics from the University of California at Berkeley. My main research interests are in the field of Operator Algebras.

My Ph.D. thesis supervisor was Bill Arveson. He was a great source of inspiration for me and many other mathematicians, and I helped edit a tribute in his honor with Palle E.T. Jorgensen and Paul Muhly:

an abridged version was published as "William B. Arveson: A Tribute", Notices of the Amer. Math. Society, August 2015
the full version was published in a special volume of the New York J. Math.: Tributes to Bill Arveson, November 2018.

Papers:

P. Bikram and D. Markiewicz, "On the classification and modular extendability of E₀-semigroups on factors", Mathematische Nachrichten 293 (2020), no.7 , pp. 1228-1250.
C. Jankowski, D. Markiewicz and R.T. Powers, "Classification of q-pure q-weight maps over finite dimensional Hilbert spaces", J. Funct. Anal. 277 (2019), no. 6, pp. 1763-1867.
A. Dor-On and D. Markiewicz, "C-envelopes of tensor algebras arising from stochastic matrices", Integr. Equ. Oper. Theory* 88 (2017), no.2, pp. 185-227, doi:10.1007/s00020-017-2382-x.
C. Jankowski, D. Markiewicz and R.T. Powers, "Aligned CP-semigroups", Int. Math. Res. Not. IMRN (2015), no. 15, pp. 6639-6647.
A. Dor-On and D. Markiewicz, "Operator algebras and subproduct systems arising from stochastic matrices", J. Funct. Anal. 267 (2014), no. 4, pp. 1057–1120.
I. Hirshberg and D. Markiewicz, "Continuous families of E₀-semigroups", Houston J. Math. 40 (2014), no.1, pp. 145-160.
C. Jankowski, D. Markiewicz and R.T. Powers, "E₀-semigroups and q-purity: boundary weight maps of range rank one and two", J. Funct. Anal. 262 (2012), no. 7, pp. 3006-3061.
C. Jankowski and D. Markiewicz, "Gauge groups of E₀-semigroups obtained from Powers weights", Int. Math. Res. Not. IMRN (2012), no. 14, pp. 3278-3310.
D. Markiewicz and O.M. Shalit, "Continuity of CP-semigroups in the point-strong operator topology", J. Operator Theory, 64 (2010), no. 1, 217-242.
A. Censor and D. Markiewicz, "Limits of groupoid C-algebras arising from open covers", Houston J. Math.* 35 (2009), no. 2, 591-618.
D. Markiewicz and R.T. Powers, "Local unitary cocycles of E₀-semigroups", J. Funct. Anal. 256 (2009), no. 5, 1511-1543.
D. Markiewicz, "Quantized convolution semigroups", Advances in quantum dynamics (South Hadley, MA, 2002), 223-233, Contemp. Math., 335, Amer. Math. Soc., Providence, RI, 2003.
D. Markiewicz, "On the product system of a completely positive semigroup", J. Funct. Anal. 200 (2003), no. 1, 237-280.

Collaborators:: Panchugopal Bikram, Aviv Censor, Adam Dor-On, Ilan Hirshberg, Christopher Jankowski, Robert T. Powers and Orr M. Shalit.

Lectures Notes:

An introduction to E-semigroups of B(H) with an emphasis on Arveson's approach. These are the notes for a series of lectures given in the BGU-Technion-TAU Joint Seminar in Operator Algebras in 2005.