### Complete Bibliography

[1] : Embedded minimal surfaces in three and four dimensional manifolds. Ph.D. thesis, University of California, Berkeley, 1981. Advised by R. Kirby. MR 2631519 phdthesis

[2] article : “Closed geodesics on surfaces,” Bull. London Math. Soc. 14 : 5 (1982), pp. 385–391. MR 0671777 Zbl 0476.53026

[3] article : “Least area incompressible surfaces in 3-manifolds,” Invent. Math. 71 : 3 (1983), pp. 609–642. MR 0695910 Zbl 0482.53045

[4] : “The geometry of the slice-ribbon problem,” Math. Proc. Cambridge Philos. Soc. 94 : 1 (July 1983), pp. 101–108. MR 704804 Zbl 0535.57004 article

[5] : “Complete area minimizing minimal surfaces which are not totally geodesic,” Pac. J. Math. 111 : 1 (1984), pp. 35–38. MR 732056 Zbl 0534.53004 article

[6] : “Minimal surfaces in Seifert fiber spaces,” Topology Appl. 18 : 2–3 (1984), pp. 145–151. MR 769287 Zbl 0559.57005 article

[7] : “Immersions of surfaces in 3-manifolds,” Topology 24 : 1 (1985), pp. 97–112. MR 790679 Zbl 0527.57020 article

[8] : “Intersections of curves on surfaces,” Israel J. Math. 51 : 1–2 (1985), pp. 90–120. MR 804478 Zbl 0576.57009 article

[9] : “One-sided closed geodesics on surfaces,” Mich. Math. J. 33 : 2 (1986), pp. 155–168. MR 837574 Zbl 0614.53035 article

[10] : “Minimal surfaces in foliated manifolds,” Comment. Math. Helv. 61 : 1 (1986), pp. 1–32. MR 847517 Zbl 0601.53024 article

[11] : “Covering spaces of 3-manifolds,” Bull. Am. Math. Soc., New Ser. 16 : 1 (January 1987), pp. 117–119. MR 866028 Zbl 0624.57016 article

[12]
:
“Minimal surfaces in manifolds with __\( S^1 \)__ actions and the simple loop conjecture for Seifert fibered spaces,”
Proc. Am. Math. Soc.
99 : 2
(February 1987),
pp. 383–388.
MR
870806
Zbl
0627.57008
article

[13] : “The existence of least area surfaces in 3-manifolds,” Trans. Am. Math. Soc. 310 : 1 (November 1988), pp. 87–114. MR 965747 Zbl 0711.53008 article

[14] : “Surfaces minimizing area in their homology class and group actions on 3-manifolds,” Math. Z. 199 : 4 (1988), pp. 501–509. MR 968316 Zbl 0715.57005 article

[15] : “Compactifying coverings of closed 3-manifolds,” J. Differ. Geom. 30 : 3 (1989), pp. 817–832. MR 1021374 Zbl 0693.57011 article

[16] : “Unstable minimal surfaces and Heegaard splittings,” Invent. Math. 95 : 3 (1989), pp. 529–540. MR 979363 Zbl 0678.57009 article

[17] : “A necessary and sufficient condition for a 3-manifold to have Heegaard genus one,” Proc. Am. Math. Soc. 107 : 4 (December 1989), pp. 1107–1110. MR 984792 Zbl 0694.57006 article

[18] : “Singular curves and the Plateau problem,” Int. J. Math. 2 : 1 (1991), pp. 1–16. MR 1082833 Zbl 0737.49029 article

[19] : “Genus two Heegaard splittings,” Proc. Am. Math. Soc. 114 : 2 (1992), pp. 565–570. MR 1070519 Zbl 0746.57005 article

[20] : “Intersections of least area surfaces,” Pac. J. Math. 152 : 1 (1992), pp. 119–123. MR 1139976 Zbl 0747.53047 article

[21] : “Homotopy equivalence and homeomorphism of 3-manifolds,” Topology 31 : 3 (July 1992), pp. 493–517. MR 1174254 Zbl 0771.57007 article

[22] : “Existence of unstable minimal surfaces in manifolds with homology and applications to triply periodic minimal surfaces,” pp. 147–162 in Differential geometry (Los Angeles, 8–28 July 1990), part 1: Partial differential equations on manifolds. Edited by R. E. Green and S.-T. Yau. Proceedings of Symposia in Pure Mathematics 54. American Mathematical Society (Providence, RI), 1993. MR 1216582 Zbl 0798.53009 incollection

[23] : “Curve flows on surfaces and intersections of curves,” pp. 415–421 in Differential geometry (Los Angeles, 8–28 July 1990), Part 3: Riemannian geometry. Edited by R. Greene and S.-T. Yau. Proceedings of Symposia in Pure Mathematics 54. Amererican Mathematical Society (Providence, RI), 1993. MR 1216633 Zbl 0793.53006 incollection

[24] : “Topologically rigid non-Haken 3-manifolds,” J. Austral. Math. Soc. Ser. A 55 : 1 (August 1993), pp. 60–71. MR 1231694 Zbl 0806.57006 article

[25] : “Homotopy and isotopy in dimension three,” Comment. Math. Helv. 68 : 3 (1993), pp. 341–364. MR 1236759 Zbl 0805.57008 article

[26] : “Shortening curves on surfaces,” Topology 33 : 1 (January 1994), pp. 25–43. MR 1259513 Zbl 0798.58019 article

[27] : “Metrics on manifolds with convex or concave boundary,” pp. 41–46 in Geometric topology: Joint US-Israel workshop on geometric topology (Haifa, Israel, 10–16 June 1992). Edited by C. Gordon, Y. Moriah, and B. Wajnryb. Contemporary Mathematics 164. American Mathematical Society (Providence, RI), 1994. MR 1282754 Zbl 0822.53024 incollection

[28] : “Bounded 3-manifolds admit negatively curved metrics with concave boundary,” J. Diff. Geom. 40 : 3 (1994), pp. 449–459. MR 1305977 Zbl 0821.53035 article

[29] : “Acylindrical surfaces in 3-manifolds,” Michigan Math. J. 42 : 2 (1995), pp. 357–365. MR 1342495 Zbl 0862.57011 article

[30] : “The double bubble conjecture,” Electron. Res. Announc. Am. Math. Soc. 1 : 3 (1995), pp. 98–102. MR 1369639 Zbl 0864.53007 article

[31]
:
“Bubbles and double bubbles,”
Amer. Sci.
84 : 5
(September–October 1996),
pp. 462–467.
A French version was published in *La Recherche* **303** (1997).
article

[32] : “Geodesic nets on the 2-sphere,” Proc. Am. Math. Soc. 124 : 12 (1996), pp. 3843–3850. MR 1343696 Zbl 0871.53038 article

[33] : “Geodesics and soap bubbles in surfaces,” Math. Z. 223 : 2 (1996), pp. 185–196. MR 1417428 Zbl 0865.53009 article

[34]
:
“The computational complexity of knot and link problems,”
pp. 172–181
in
Proceedings: 38th annual symposium on the foundations of computer science
(Miami Beach, FL, 20–22 October 1997).
IEEE Computer Society Press (Los Alamitos, CA),
1997.
preliminary report.
preliminary report for an article eventually published in *J. ACM* **46**:2 (1999).
incollection

[35]
:
“Histoires de bulles et de double bulles”
[Stories of bubbles and double bubbles],
La Recherche
303
(November 1997),
pp. 42–47.
French version of an article originally published in *Am. Sci.* **84**:5 (1996).
article

[36] : “Neon bulbs and the unknotting of arcs in manifolds,” J. Knot Theor. Ramif. 6 : 2 (April 1997), pp. 235–242. MR 1452439 Zbl 0886.57003 article

[37] : How to ace calculus: The streetwise guide. W. H. Freeman (New York), 1998. book

[38] : “Algorithms for recognizing knots and 3-manifolds,” pp. 569–581 in Knot theory and its applications: Expository articles on current research, published as Chaos Solitons Fractals 9 : 4–5. Issue edited by M. S. El Naschie. April–May 1998. MR 1628743 Zbl 0935.57014 incollection

[39] : “Simple closed geodesics in hyperbolic 3-manifolds,” Bull. London Math. Soc. 31 : 1 (January 1999), pp. 81–86. MR 1650997 Zbl 0955.53025 ArXiv math/9801071 article

[40]
:
“The computational complexity of knot and link problems,”
J. ACM
46 : 2
(March 1999),
pp. 185–211.
A preliminary report was published in *Proceedings: 38th annual symposium on the foundations of computer science* (1997).
MR
1693203
Zbl
1065.68667
article

[41]Proceedings of the Kirbyfest (Berkeley, CA, June 22–26, 1998). Edited by J. Hass and M. Scharlemann. Geometry & Topology Monographs 2. Geometry & Topology Publications (Coventry), 1999. MR 1734398

[42] : “Configurations of curves and geodesics on surfaces,” pp. 201–213 in Proceedings of the Kirbyfest (Berkeley, CA, 22–26 June 1998). Edited by J. Hass and M. G. Scharlemann. Geometry & Topology Monographs 2. Geometry & Topology Publications (Coventry, UK), 1999. MR 1734409 Zbl 1035.53053 ArXiv math/9903130 incollection

[43] : “Boundary slopes of immersed surfaces in 3-manifolds,” J. Diff. Geom. 52 : 2 (1999), pp. 303–325. MR 1758298 Zbl 0978.57016 ArXiv math/9911072 article

[44]
:
“General double bubble conjecture in __\( \mathbb{R}^3 \)__ solved,”
MAA Focus
20 : 5
(May–June 2000),
pp. 4–5.
article

[45] : “Double bubbles minimize,” Ann. Math. (2) 151 : 2 (March 2000), pp. 459–515. MR 1765704 Zbl 0970.53008 article

[46] : How to ace the rest of calculus: The streetwise guide. W. H. Freeman (New York), 2001. book

[47] : “The number of Reidemeister moves needed for unknotting,” J. Am. Math. Soc. 14 : 2 (2001), pp. 399–428. MR 1815217 Zbl 0964.57005 article

[48] : “On finiteness of the number of boundary slopes of immersed surfaces in 3-manifolds,” Proc. Am. Math. Soc. 130 : 6 (2002), pp. 1851–1857. MR 1887034 Zbl 0993.57007 article

[49] : “3-manifold knot genus is NP-complete,” pp. 761–766 in Proceedings of the thirty-fourth annual ACM symposium on theory of computing (Montreal, 19–21 May 2002). Edited by J. H. Reif. ACM (New York), 2002. MR 2121524 Zbl 1192.68305 incollection

[50] : “The size of spanning disks for polygonal curves,” Discrete Comput. Geom. 29 : 1 (2003), pp. 1–17. MR 1946790 Zbl 1015.57008 article

[51] : “Minimal spheres of arbitrarily high Morse index,” Commun. Anal. Geom. 11 : 3 (2003), pp. 425–439. MR 2015753 Zbl 1104.53055 ArXiv 0206286 article

[52]
:
“The minimal number of triangles needed to span a polygon embedded in __\( \mathbb{R}^d \)__,”
pp. 509–526
in
Discrete and computational geometry: The Goodman–Pollack Festschrift.
Edited by B. Aronov, S. Basu, J. Pach, and M. Sharir.
Algorithms and Combinatorics 25.
Springer (Berlin),
2003.
MR
2038489
Zbl
1103.52013
incollection

[53]
:
“Linear perturbation methods for topologically consistent representations of free-form surface intersections,”
Comput. Aided Geom. Design
21 : 3
(March 2004),
pp. 303–319.
A corrigendum to this article was published in *Comput. Aided Geom. Design* **21**:3 (2004).
MR
2042022
Zbl
1069.65567
article

[54]
:
“Corrigendum to ‘Linear perturbation methods for topologically consistent representations of free-form surface intersections’,”
Comput. Aided Geom. Design
21 : 3
(2004),
pp. 321.
corrigendum to an article published in *Comput. Aided Geom. Design* **21**:3 (2004).
MR
2042023
Zbl
1069.65568
article

[55] : “Topologically consistent trimmed surface approximations based on triangular patches,” Comput. Aided Geom. Design 21 : 5 (2004), pp. 459–478. MR 2058392 Zbl 1069.65552 article

[56] : “Area inequalities for embedded disks spanning unknotted curves,” J. Diff. Geom. 68 : 1 (2004), pp. 1–29. MR 2152907 Zbl 1104.53006 ArXiv math/0306313 article

[57] : “Minimal surfaces and the topology of three-manifolds,” pp. 705–724 in Global theory of minimal surfaces (Berkeley, CA, 25 June–27 July 2001). Edited by D. Hoffman. Clay Mathematical Proceedings 2. American Mathematical Society (Providence, RI), 2005. MR 2167285 Zbl 1100.57021 incollection

[58] : “Boundary evaluation algorithms for Minkowski combinations of complex sets using topological analysis of implicit curves,” Numer. Algorithms 40 : 3 (2005), pp. 251–283. MR 2189407 Zbl 1087.65011 article

[59] : Thomas’ calculus: Early transcendentals, 11th edition. Addison-Wesley (Boston, MA), 2005. Hass also contributed to the 12th edition (2009). book

[60] : “The computational complexity of knot genus and spanning area,” Trans. Am. Math. Soc. 358 : 9 (2006), pp. 3821–3850. MR 2219001 Zbl 1098.57003 article

[61] : “Guaranteed consistency of surface intersections and trimmed surfaces using a coupled topology resolution and domain decomposition scheme,” Adv. Comput. Math. 27 : 1 (2007), pp. 1–26. MR 2317919 Zbl 1118.65011 article

[62] : “Evaluating the boundary and covering degree of planar Minkowski sums and other geometrical convolutions,” J. Comput. Appl. Math. 209 : 2 (2007), pp. 246–266. MR 2387129 Zbl 1140.65020 article

[63] : “Invariants of knot diagrams,” Math. Ann. 342 : 1 (2008), pp. 125–137. MR 2415317 Zbl 1161.57002 article

[64] : “Stabilization of Heegaard splittings,” Geom. Topol. 13 : 4 (2009), pp. 2029–2050. MR 2507114 Zbl 1177.57018 ArXiv 0802.2145 article

[65]
:
“Knots and __\( k \)__-width,”
Geom. Dedicata
143 : 7
(December 2009),
pp. 7–18.
MR
2576289
Zbl
1189.57005
ArXiv
math/0604256
article

[66]
:
Thomas’ calculus: Early transcendentals,
12th edition.
Addison-Wesley (Boston, MA),
2009.
An abridged German translation of this was published as *Basisbuch {A*nalysis} (2013). Hass also contributed to the 11th edition (2005).
book

[67] : University calculus: Elements with early transcendentals. Pearson (Boston, MA), 2009. single variable. A second, revised edition was published (with slightly different title) in 2012. Zbl 1271.00017 book

[68] : “Sampling the conformation of protein surface residues for flexible protein docking,” BMC Bioinform. 11 (2010), pp. 575–588. article

[69] : “Unknot diagrams requiring a quadratic number of Reidemeister moves to untangle,” Discrete Comput. Geom. 44 : 1 (2010), pp. 91–95. MR 2639820 Zbl 1191.57006 article

[70] : “Is it knotted?,” pp. 129–135 in Expeditions in mathematics. Edited by T. Shubin, D. F. Hayes, and G. L. Alexanderson. MAA Spectrum 68. Mathematical Association of America (Washington, DC), 2011. incollection

[71] : “Surface-histogram: A new shape descriptor for protein-protein docking,” Proteins Struct. Funct. Bioinf. 80 : 1 (January 2012), pp. 221–238. article

[72] : “The complexity of recognizing the 3-sphere,” pp. 1425–1426 in Triangulations, published as OWR 9 : 2. Issue edited by G.-M. Greuel. EMS (Zürich), 2012. nonrefereed extended abstract. incollection

[73] : “What is an almost normal surface?,” pp. 1–13 in Geometry and topology down under: A conference in honour of Hyam Rubinstein (Melbourne, 11–22 July 2011). Edited by C. D. Hodgson, W. H. Jaco, M. G. Scharlemann, and S. Tillmann. Contemporary Mathematics 597. American Mathematical Society (Providence, RI), 2013. MR 3186667 Zbl 1279.57002 incollection

[74] : “Globally optimal cortical surface matching with exact landmark correspondence,” pp. 487–498 in Information processing in medical imaging: 23rd international conference, IPMI 2013 (Asilomar, CA, 28 June–3 July 2013). Edited by J. C. Gee, S. Joshi, K. M. Pohl, W. M. Wells, and L. Zöllei. Lecture Notes in Computer Science 7917. Springer (Berlin), 2013. incollection

[75] : Analysis 1: Lehr- und Übungsbuch [Analysis 1: Teaching and practice book]. Pearson Studium (München), 2013. Part 2 was published in 2013. Zbl 1270.00022 book

[76]
:
Basisbuch Analysis
[Basic book of analysis].
Pearson Higher Eucation (München),
2013.
abridged German translation of 12th edition of *Thomas’ calculus* (2009).
Zbl
1283.26001
book

[77] : “Automatic alignment of genus-zero surfaces,” IEEE Trans. Pattern Anal. Mach. Intell. 36 : 3 (March 2014), pp. 466–478. article

[78] : Analysis 2: Lehr- und Übungsbuch [Analysis 2: Teaching and practice book], 12th updated edition. Pearson Studium (München), 2014. Part 1 was published in 2013. Zbl 1296.26005 book

[79] : “How round is a protein? Exploring protein structures for globularity using conformal mapping,” Front. Mol. Biosci. 1 (December 2014), pp. 1–26. article

[80] : Minimal fibrations of hyperbolic 3-manifolds. Preprint, 12 2015. ArXiv 1512.04145 techreport

[81] : A metric for genus-zero surfaces. Preprint, July 2015. ArXiv 1507.00798 techreport

[82] : “Landmark-free geometric methods in biological shape analysis,” J. R. Soc. Interface 12 : 113 (2015), pp. 1–11. article

[83] : “Topological and physical link theory are distinct,” Pac. J. Math. 276 : 2 (2015), pp. 387–400. MR 3374064 Zbl 1326.53008 article

[84] : “Simplicial energy and simplicial harmonic maps,” Asian J. Math. 19 : 4 (2015), pp. 593–636. MR 3423736 Zbl 1332.57024 ArXiv 1206.2574 article

[85] : Isoperimetric regions in nonpositively curved manifolds. Preprint, 11 2016. ArXiv 1604.02768 techreport

[86] : Invariants of random knots and links. Preprint, June 2016. ArXiv 1411.3308 techreport

[87] : “The number of surfaces of fixed genus in an alternating link complement,” Int. Math. Res. Not. 2017 : 6 (March 2017), pp. 1611–1622. MR 3658176 ArXiv 1508.03680 article

[88] : “Comparing shapes of genus-zero surfaces,” J. Appl. Comput. Topol. 1 : 1 (2017), pp. 57–87. MR 3975549 article

[89] : “The distribution of knots in the Petaluma model,” Algebr. Geom. Topol. 18 : 6 (2018), pp. 3647–3667. MR 3868230 article

[90] : “Computing trisections of 4-manifolds,” Proc. Natl. Acad. Sci. USA 115 : 43 (2018), pp. 10901–10907. MR 3871794 article

[91] : “Universal knot diagrams,” J. Knot Theory Ramifications 28 : 7 (2019), pp. 1950031, 30. MR 3975570 article

[92] : “Alternating links have at most polynomially many Seifert surfaces of fixed genus,” Indiana Univ. Math. J. 70 : 2 (2021), pp. 525–534. MR 4257618 article

[93] : “Tangle decompositions of alternating link complements,” Illinois J. Math. 65 : 3 (2021), pp. 533–545. MR 4312193 article

[94] : “Random colorings in manifolds,” Israel J. Math. 256 : 1 (2023), pp. 153–211. MR 4652937 article